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A289485 G.f.: Product_{m>0} (1 + x^m + 2!*x^(2*m) + 3!*x^(3*m)). 3

%I #43 Oct 04 2017 14:07:33

%S 1,1,3,8,6,13,24,37,46,98,90,142,235,296,392,601,746,1018,1428,1702,

%T 2258,3132,3891,5044,6766,8134,10681,13812,16952,20996,27986,33144,

%U 41376,52500,64066,79401,99718,119590,147162,181880,220339,266662,329342,391736

%N G.f.: Product_{m>0} (1 + x^m + 2!*x^(2*m) + 3!*x^(3*m)).

%H Seiichi Manyama, <a href="/A289485/b289485.txt">Table of n, a(n) for n = 0..500</a>

%p b:= proc(n, i) option remember; `if`(n=0, 1, `if`(i<1, 0,

%p add(b(n-i*j, i-1)*j!, j=0..min(3, n/i))))

%p end:

%p a:= n-> b(n$2):

%p seq(a(n), n=0..50); # _Alois P. Heinz_, Oct 04 2017

%o (PARI) Vec(prod(m=1, 50, 1+x^m+2*x^(2*m)+6*x^(3*m)) + O(x^50)) \\ _Michel Marcus_, Oct 04 2017

%Y Column k=3 of A293202.

%K nonn

%O 0,3

%A _Seiichi Manyama_, Oct 03 2017

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Last modified July 25 03:25 EDT 2024. Contains 374586 sequences. (Running on oeis4.)