A275936 Shifts 6 places under binomial transform.

0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 6, 21, 56, 126, 252, 463, 810, 1464, 3262, 10269, 40404, 165635, 653580, 2439069, 8626470, 29121393, 94647798, 299273206, 933818700, 2935248294, 9557815564, 33225405312, 125646127446, 514785555355, 2232901148760, 9976014439674, 44944467146100, 201608952292578, 895062795448170

Offset

0,13

Links

Robert Israel, Table of n, a(n) for n = 0..800

Formula

Sum_{i=0..n} binomial(n,i)*a(i) = a(n+6).

G.f. A(x) satisfies: A(x) = x^5 + x^6 * A(x/(1 - x)) / (1 - x). - Ilya Gutkovskiy, Jul 01 2021

Maple

A:= Array(0..10000):
A[5]:= 1:
for n from 6 to 100 do
  A[n]:= add(binomial(n-6, i)*A[i], i=0..n-6);
od:
convert(A, list); # Robert Israel, Mar 04 2024

Crossrefs

Cf. A000998, A275934, A275935.

Sequence in context: A006090 A192080 A290993 * A019500 A100356 A229886

Adjacent sequences: A275933 A275934 A275935 * A275937 A275938 A275939

Keyword

nonn,easy,eigen

Author

Olivier Gérard, Aug 12 2016

Status

approved