|
%I #18 Dec 02 2021 11:31:42
%S 1,1,3,19,121,921,8491,89083,1004529,12855601,180798931,2688972771,
%T 43446800233,753263746249,13821916933371,268513532534731,
%U 5515341294313441,119063602254649953,2692597826408668579,63786073308011409331,1576811081112158751321
%N E.g.f.: exp((1+x)*(1+x^2)*(1+x^3)*(1+x^4) - 1).
%H Seiichi Manyama, <a href="/A294252/b294252.txt">Table of n, a(n) for n = 0..458</a>
%F a(n) = a(n-1) + 2*(n-1)*a(n-2) + 6*(n-2)*(n-1)*a(n-3) + 8*(n-3)*(n-2)*(n-1)*a(n-4) + 10*(n-4)*(n-3)*(n-2)*(n-1)*a(n-5) + 12*(n-5)*(n-4)*(n-3)*(n-2)*(n-1)*a(n-6) + 14*(n-6)*(n-5)*(n-4)*(n-3)*(n-2)*(n-1)*a(n-7) + 8*(n-7)*(n-6)*(n-5)*(n-4)*(n-3)*(n-2)*(n-1)*a(n-8) + 9*(n-8)*(n-7)*(n-6)*(n-5)*(n-4)*(n-3)*(n-2)*(n-1)*a(n-9) + 10*(n-9)*(n-8)*(n-7)*(n-6)*(n-5)*(n-4)*(n-3)*(n-2)*(n-1)*a(n-10). - _Vaclav Kotesovec_, Dec 02 2021
%o (PARI) N=66; x='x+O('x^N); Vec(serlaplace(exp((1+x)*(1+x^2)*(1+x^3)*(1+x^4)-1)))
%Y Column k=4 of A294250.
%Y Cf. A294215, A294292.
%K nonn
%O 0,3
%A _Seiichi Manyama_, Oct 26 2017
|
