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A218027 Shifts 10 places left under Euler transform with a(0)=0 and a(n)=1 for n<10. 3

%I

%S 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 362,503,693,969,1349,1896,2656,3746,5267,7436,10476,14798,20869,

%U 29491,41635,58878,83234,117841,166851,236568,335526,476451,676868,962566

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

%H Alois P. Heinz, <a href="/A218027/b218027.txt">Table of n, a(n) for n = 0..1000</a>

%H N. J. A. Sloane, <a href="/transforms.txt">Transforms</a>

%F 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 with(numtheory):

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

%p (add(add(d*a(d), d=divisors(j)) *b(n-j), j=1..n))/n)

%p end:

%p a:= n-> `if`(n<10, signum(n), b(n-10)):

%p seq(a(n), n=0..60);

%Y Column k=10 of A144018.

%Y Cf. A316082.

%K nonn,eigen

%O 0,13

%A _Alois P. Heinz_, Oct 18 2012

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Last modified November 12 07:00 EST 2019. Contains 329052 sequences. (Running on oeis4.)