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A218023 Shifts 6 places left under Euler transform with a(0)=0 and a(n)=1 for n<6.

%I A218023 #12 May 08 2019 16:28:33
%S A218023 0,1,1,1,1,1,1,1,2,3,5,7,11,15,23,33,50,73,112,166,254,383,587,891,
%T A218023 1371,2095,3232,4970,7689,11878,18435,28589,44486,69225,107985,168510,
%U A218023 263473,412172,645798,1012516,1589480,2496956,3926743,6179504,9733649,15342313
%N A218023 Shifts 6 places left under Euler transform with a(0)=0 and a(n)=1 for n<6.
%H A218023 Alois P. Heinz, <a href="/A218023/b218023.txt">Table of n, a(n) for n = 0..1000</a>
%H A218023 N. J. A. Sloane, <a href="/transforms.txt">Transforms</a>
%F A218023 G.f.: x + x^2 + x^3 + x^4 + x^5 + x^6 / Product_{n>=1} (1 - x^n)^a(n). - _Ilya Gutkovskiy_, May 08 2019
%p A218023 with(numtheory):
%p A218023 b:= proc(n) option remember; `if`(n=0, 1,
%p A218023       (add(add(d*a(d), d= divisors(j)) *b(n-j), j=1..n))/n)
%p A218023     end:
%p A218023 a:= n-> `if`(n<6, signum(n), b(n-6)):
%p A218023 seq(a(n), n=0..50);
%Y A218023 Column k=6 of A144018.
%Y A218023 Cf. A316078.
%K A218023 nonn,eigen
%O A218023 0,9
%A A218023 _Alois P. Heinz_, Oct 18 2012