A275936 - OEIS

%I #17 Mar 04 2024 01:30:51

%S 0,0,0,0,0,1,0,0,0,0,0,1,6,21,56,126,252,463,810,1464,3262,10269,

%T 40404,165635,653580,2439069,8626470,29121393,94647798,299273206,

%U 933818700,2935248294,9557815564,33225405312,125646127446,514785555355,2232901148760,9976014439674,44944467146100,201608952292578,895062795448170

%N Shifts 6 places under binomial transform.

%H Robert Israel, <a href="/A275936/b275936.txt">Table of n, a(n) for n = 0..800</a>

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

%F G.f. A(x) satisfies: A(x) = x^5 + x^6 * A(x/(1 - x)) / (1 - x). - _Ilya Gutkovskiy_, Jul 01 2021

%p A:= Array(0..10000):

%p A[5]:= 1:

%p for n from 6 to 100 do

%p   A[n]:= add(binomial(n-6,i)*A[i],i=0..n-6);

%p od:

%p convert(A,list); # _Robert Israel_, Mar 04 2024

%Y Cf. A000998, A275934, A275935.

%K nonn,easy,eigen

%O 0,13

%A _Olivier Gérard_, Aug 12 2016