%I #15 Jul 02 2021 16:43:10
%S 0,0,0,0,1,0,0,0,0,1,5,15,35,70,127,225,455,1260,4555,17760,67265,
%T 241015,818705,2666400,8464210,26791045,87104270,300213875,1119214050,
%U 4500888827,19104042345,83376236115,366831787085,1609394914730,7015234913278,30426949154855,131992116224295,577090099245575,2565792536742865,11698401074992087,55012217948708040
%N Shifts 5 places left under binomial transform.
%F Sum_{i=0..n} binomial(n,i)*a(i) = a(n+5).
%F G.f. A(x) satisfies: A(x) = x^4 + x^5 * A(x/(1 - x)) / (1 - x). - _Ilya Gutkovskiy_, Jul 01 2021
%Y Cf. A000998, A275934.
%K nonn,easy,eigen
%O 0,11
%A _Olivier GĂ©rard_, Aug 12 2016