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A218026
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Shifts 9 places left under Euler transform with a(0)=0 and a(n)=1 for n<9.
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3
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0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 3, 5, 7, 11, 15, 22, 30, 42, 57, 80, 109, 152, 211, 296, 415, 588, 832, 1185, 1689, 2413, 3449, 4940, 7073, 10141, 14544, 20880, 29991, 43131, 62064, 89417, 128925, 186090, 268808, 388677, 562381, 814393, 1180070, 1711131
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OFFSET
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0,12
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LINKS
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FORMULA
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G.f.: x + x^2 + x^3 + x^4 + x^5 + x^6 + x^7 + x^8 + x^9 / Product_{n>=1} (1 - x^n)^a(n). - Ilya Gutkovskiy, May 08 2019
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MAPLE
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with(numtheory):
b:= proc(n) option remember; `if`(n=0, 1,
(add(add(d*a(d), d=divisors(j)) *b(n-j), j=1..n))/n)
end:
a:= n-> `if`(n<9, signum(n), b(n-9)):
seq(a(n), n=0..60);
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CROSSREFS
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KEYWORD
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nonn,eigen
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AUTHOR
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STATUS
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approved
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