cp's OEIS Frontend

This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.

A275936 Shifts 6 places under binomial transform.

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%I A275936 #17 Mar 04 2024 01:30:51
%S A275936 0,0,0,0,0,1,0,0,0,0,0,1,6,21,56,126,252,463,810,1464,3262,10269,
%T A275936 40404,165635,653580,2439069,8626470,29121393,94647798,299273206,
%U A275936 933818700,2935248294,9557815564,33225405312,125646127446,514785555355,2232901148760,9976014439674,44944467146100,201608952292578,895062795448170
%N A275936 Shifts 6 places under binomial transform.
%H A275936 Robert Israel, <a href="/A275936/b275936.txt">Table of n, a(n) for n = 0..800</a>
%F A275936 Sum_{i=0..n} binomial(n,i)*a(i) = a(n+6).
%F A275936 G.f. A(x) satisfies: A(x) = x^5 + x^6 * A(x/(1 - x)) / (1 - x). - _Ilya Gutkovskiy_, Jul 01 2021
%p A275936 A:= Array(0..10000):
%p A275936 A[5]:= 1:
%p A275936 for n from 6 to 100 do
%p A275936   A[n]:= add(binomial(n-6,i)*A[i],i=0..n-6);
%p A275936 od:
%p A275936 convert(A,list); # _Robert Israel_, Mar 04 2024
%Y A275936 Cf. A000998, A275934, A275935.
%K A275936 nonn,easy,eigen
%O A275936 0,13
%A A275936 _Olivier Gérard_, Aug 12 2016