The problem is, that this is a recurrsive formula, and I got the impression, that the OP wanted a direct formula to calculate the number of Polyraptors.
Also, for m=3, 24 is followed by 44, not 41. If your formula gets 41 here, it is flawed.
you are correct that is a typo on my part, thanks for pointing it out!
the maximal number of polyraptors left on the field after all triggers have resolved is defined as follows:
an n-nacci sequence is defined as: "A Fibonacci sequence of order n" which is "an integer sequence in which each sequence element is the sum of the previous n elements (with the exception of the first n elements in the sequence)." the first n elements in the sequence are defined as n-1 0's and a 1
as an example a normal fibonacci sequence would be a 2-nacci sequence: 0, 1, 1, 2, 3, 5, etc.
a tribonacci sequence would be a 3-nacci sequence: 0, 0, 1, 1, 2, 4, 7, 13, etc.
the 0's at the beginning of the sequence allow the formula to always have a defined answer without needing to add domain restrictions which is nice
examples of the formula in practice: for reference the first 15 numbers in a 5-nacci sequence (pentanacci) are: 0, 0, 0, 0, 1, 1, 2, 4, 8, 16, 31, 61, 120, 236, 464
for reference the first 10 numbers in a 3-nacci sequence (tribonacci) are: 0, 0, 1, 1, 2, 4, 7, 13, 24, 44
please let me know if I need to add more explanation D:
if I understand your question correctly, you are correct.
all the costs for the spell are determined prior to actually paying for those costs (601.2f)
Then the resulting total cost becomes “locked in.” If effects would change the total cost after this time, they have no effect
THEN the player may activate mana abilities to actually pay for the cost (601.2g), at this point the costs are locked in
THEN the player actually pays those costs
I must admit I am somewhat baffled by the reactions to todays story. It served no purpose? Isn't the purpose of a story to entertain, to make you think and/or feel? I don't see why a story has to advance a plot, if it is otherwise interesting to read. What has reading Magic stories become to? Some sort of weird competition? We have to advance in plot as fast as possible? What?
Personally, this story was a highlight for me. I am not one to bash the gatewatch, because I can understand WotC's decision, but man is it strange to feel much more sorry for a character I met for 5 lines than someone who's been plastered over every second Magic merchandise article. This story accomplished more for me than the entirety of the Zendikar arc. Speaking of which, as I said during the Zendikar stories, this kind of story really was missing from Return to Zendikar: A broad overview of short snippets over what the entire world is going through. You can think of the gatewatch what you want, but the conflict of Zendikar was supposed to be planewide, but yet we only followed the same 4 offworld protagonists and 3 native supporting characters.
I am glad they have taken the conflict to where it belongs: To the people of Naktamun. The gatewatch really is just an excuse to visit this world after all.
I thoroughly agree with you! Personally I'm the type of person who watches an action flick and thinks about who the henchmen and minions who get slaughtered by the protagonists were. Too many times theyre just cannon fodder for a cool fight scene, but stories like this really make you realize that all the "unimportant" people are people too and they had lives as well.
It frankly irritates me that people are against today's story simply because "oh nothing big happened." Not every story needs to be some big, flashy, climactic fight scene with explosions and fireworks all over the place. Not every story even needs any sort of plot advancement, this story is a perfect example of beautiful worldbuilding that shows us the utter and total bleakness of the situation on Amonkhet. As others have said we can see that the plane is doomed and things are going terribly for the people on the plane from the cards and foreshadowing from previous stories, but this story gives an utterly different perspective that viscerally puts us in the middle of everything going to hell. The cards showed me that things weren't going to go well; today's story put me right in the middle of it all and made me feel like i was there with the characters struggling to find any chance at survival and ultimately failing.
In short: everything before today's story showed me things are bad on Amonkhet, today's story allowed me to live and feel it for myself, and that was beautiful (and tragic in the extreme)
Today's story was incredible! I've never before had such an interest in the stories as I am for the Hour of Devastation and Amonkhet storylines. I've followed the stories since around BFZ but with this block for the first time I'm actively looking forward to the story each week and I can't wait for more!
I absolutely love the feel the writers have developed in these last few stories: the utter despair and terror they're conveying perfectly, the world crumbling around us as we read, and transition from glorious end times to the apocalypse has been absolutely perfect.
For today's story in particular, I loved the constant repetition of the locust droning as it really set the mood for everything collapsing and being swarmed and the desert covering everything. Reading today's story made me feel the plagues of the insect gods more than just reading about them. It was incredible and if all the coming stories are as good as this block, I don't know if Ill survive much longer
This is one of those cards where you just have to build around it to maximize its chances of success. Making sure it's the most expensive card in your deck, and the only 6 cmc at that, is a good start. Selective Memory is actually a good enabler for Fury, as you can simply exile the rest of your lands, and anything else you don't want to hit with Fury, from your library.
"Search your library for any number of nonland cards and exile them"
does not work the way you want it to (would just make it more likely to hit lands)
You choose which card you are getting with chord upon resolution of the spell, so by the time they know what you are getting, they will not be able to respond. The last point at which they can respond, the only thing they will know about chord is what X is. So you are correct for the reasons you stated
not only is it related, that is precisely what it is, just by another name
(I found the name "n-nacci" on OEIS so thats what I know it by)
you are correct that is a typo on my part, thanks for pointing it out!
an n-nacci sequence is defined as: "A Fibonacci sequence of order n" which is "an integer sequence in which each sequence element is the sum of the previous n elements (with the exception of the first n elements in the sequence)." the first n elements in the sequence are defined as n-1 0's and a 1
as an example a normal fibonacci sequence would be a 2-nacci sequence: 0, 1, 1, 2, 3, 5, etc.
a tribonacci sequence would be a 3-nacci sequence: 0, 0, 1, 1, 2, 4, 7, 13, etc.
the 0's at the beginning of the sequence allow the formula to always have a defined answer without needing to add domain restrictions which is nice
examples of the formula in practice:
for reference the first 15 numbers in a 5-nacci sequence (pentanacci) are: 0, 0, 0, 0, 1, 1, 2, 4, 8, 16, 31, 61, 120, 236, 464
for reference the first 10 numbers in a 3-nacci sequence (tribonacci) are: 0, 0, 1, 1, 2, 4, 7, 13, 24, 44
please let me know if I need to add more explanation D:
all the costs for the spell are determined prior to actually paying for those costs (601.2f)
THEN the player may activate mana abilities to actually pay for the cost (601.2g), at this point the costs are locked in
THEN the player actually pays those costs
I thoroughly agree with you! Personally I'm the type of person who watches an action flick and thinks about who the henchmen and minions who get slaughtered by the protagonists were. Too many times theyre just cannon fodder for a cool fight scene, but stories like this really make you realize that all the "unimportant" people are people too and they had lives as well.
It frankly irritates me that people are against today's story simply because "oh nothing big happened." Not every story needs to be some big, flashy, climactic fight scene with explosions and fireworks all over the place. Not every story even needs any sort of plot advancement, this story is a perfect example of beautiful worldbuilding that shows us the utter and total bleakness of the situation on Amonkhet. As others have said we can see that the plane is doomed and things are going terribly for the people on the plane from the cards and foreshadowing from previous stories, but this story gives an utterly different perspective that viscerally puts us in the middle of everything going to hell. The cards showed me that things weren't going to go well; today's story put me right in the middle of it all and made me feel like i was there with the characters struggling to find any chance at survival and ultimately failing.
In short: everything before today's story showed me things are bad on Amonkhet, today's story allowed me to live and feel it for myself, and that was beautiful (and tragic in the extreme)
I absolutely love the feel the writers have developed in these last few stories: the utter despair and terror they're conveying perfectly, the world crumbling around us as we read, and transition from glorious end times to the apocalypse has been absolutely perfect.
For today's story in particular, I loved the constant repetition of the locust droning as it really set the mood for everything collapsing and being swarmed and the desert covering everything. Reading today's story made me feel the plagues of the insect gods more than just reading about them. It was incredible and if all the coming stories are as good as this block, I don't know if Ill survive much longer
"Search your library for any number of nonland cards and exile them"
does not work the way you want it to (would just make it more likely to hit lands)
It looks, feels, and sounds very GU