Find the Sequence Rule

[elwalid]

Here is a puzzle to play with.
The sequence is this:
1,3,7,8,21,49,76,224,467,514,1155,2683,5216,10544,26867,51510,95823,
198669,357535,863317,1811764,3007503,5598802,
14428676,33185509,54538862,111949941,227634408,400708894,1033162084

Find the Sequence Rule

[Buswyn]

Cool. Thanks for the thread

[elwalid]

i dont think there are any sequence

[Guest]

i dont think there are any sequence

Of course there is a sequence- it was given. You mean there may not be a rule.

[Guest]

For a finite sequence one can alway construct a rule. For any ordered list of n numbers, there exist a polynomial, p(n), of degree n-1 such that p(1) is the first number in the list, p(2) is the second number, etc. Of course, there might be many other rules that give the same list of numbers.

[Guest]

Ok