311311122110
41 t(n) = (9n4 -110n3 + 477n2 -844n + 480)/12
901.
16' then 25 and then 36 et.seq. The clue is 0,1,4,9,16,25,36, ... = 0^(2) , 1(2) , 2^(2), 3^(2) , 4^(2) , 5^(2) , 6^(2), ... n^(2) ...
The next term is -2.
The number 0 and the next is 2.
The next number is 0
The next number in the sequence is 48.
12
4
132
311311122110
41 t(n) = (9n4 -110n3 + 477n2 -844n + 480)/12
Oh, dude, it's like a math riddle or something. So, if we look at the pattern, it's subtracting 400, then adding 600, then subtracting 300. So, the next step would be to add 400, which would give us 500. Math can be fun, right?
16' then 25 and then 36 et.seq. The clue is 0,1,4,9,16,25,36, ... = 0^(2) , 1(2) , 2^(2), 3^(2) , 4^(2) , 5^(2) , 6^(2), ... n^(2) ...
This series is of the function f(x) = x2+1, starting with x=0.The next number in the series is 26. The number after that is 37.
There are infinitely many different polynomials of degree 8 that will fit all the numbers of the above sequence. Each will generate a different number as the next one in the sequence.