%I #14 Sep 08 2022 08:46:22

%S 0,1,2,3,4,5,0,1,2,3,4,5,0,2,4,6,8,10,0,3,6,9,12,15,0,4,8,12,16,20,0,

%T 5,10,15,20,25,0,0,0,0,0,0,0,1,2,3,4,5,0,2,4,6,8,10,0,3,6,9,12,15,0,4,

%U 8,12,16,20,0,5,10,15,20,25,0,0,0,0,0,0,0,2,4,6,8,10,0,4,8,12,16,20,0,6,12,18,24,30,0,8,16,24,32

%N Product of digits of (n written in base 6).

%H Seiichi Manyama, <a href="/A309957/b309957.txt">Table of n, a(n) for n = 0..10000</a>

%F G.f. A(x) satisfies: A(x) = x * (1 + 2*x + 3*x^2 + 4*x^3 + 5*x^4) * (1 + A(x^6)).

%p seq(convert(convert(n,base,6),`*`),n=0..100); # _Robert Israel_, Aug 24 2019

%t Table[Times @@ IntegerDigits[n, 6], {n, 0, 100}]

%o (Magma) [0] cat [&*Intseq(n,6):n in [1..100]]; // _Marius A. Burtea_, Aug 25 2019

%Y Cf. A007092, A007954, A053827.

%K nonn,base

%O 0,3

%A _Ilya Gutkovskiy_, Aug 24 2019