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A218027 Shifts 10 places left under Euler transform with a(0)=0 and a(n)=1 for n<10.

%I A218027 #13 May 08 2019 22:18:06
%S A218027 0,1,1,1,1,1,1,1,1,1,1,1,2,3,5,7,11,15,22,30,42,56,78,104,143,193,266,
%T A218027 362,503,693,969,1349,1896,2656,3746,5267,7436,10476,14798,20869,
%U A218027 29491,41635,58878,83234,117841,166851,236568,335526,476451,676868,962566
%N A218027 Shifts 10 places left under Euler transform with a(0)=0 and a(n)=1 for n<10.
%H A218027 Alois P. Heinz, <a href="/A218027/b218027.txt">Table of n, a(n) for n = 0..1000</a>
%H A218027 N. J. A. Sloane, <a href="/transforms.txt">Transforms</a>
%F A218027 G.f.: x + x^2 + x^3 + x^4 + x^5 + x^6 + x^7 + x^8 + x^9 + x^10 / Product_{n>=1} (1 - x^n)^a(n). - _Ilya Gutkovskiy_, May 08 2019
%p A218027 with(numtheory):
%p A218027 b:= proc(n) option remember; `if`(n=0, 1,
%p A218027       (add(add(d*a(d), d=divisors(j)) *b(n-j), j=1..n))/n)
%p A218027     end:
%p A218027 a:= n-> `if`(n<10, signum(n), b(n-10)):
%p A218027 seq(a(n), n=0..60);
%Y A218027 Column k=10 of A144018.
%Y A218027 Cf. A316082.
%K A218027 nonn,eigen
%O A218027 0,13
%A A218027 _Alois P. Heinz_, Oct 18 2012