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A358780
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Dirichlet g.f.: zeta(s) * zeta(2*s) * zeta(3*s) * zeta(4*s).
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1
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1, 1, 1, 2, 1, 1, 1, 3, 2, 1, 1, 2, 1, 1, 1, 5, 1, 2, 1, 2, 1, 1, 1, 3, 2, 1, 3, 2, 1, 1, 1, 6, 1, 1, 1, 4, 1, 1, 1, 3, 1, 1, 1, 2, 2, 1, 1, 5, 2, 2, 1, 2, 1, 3, 1, 3, 1, 1, 1, 2, 1, 1, 2, 9, 1, 1, 1, 2, 1, 1, 1, 6, 1, 1, 2, 2, 1, 1, 1, 5, 5, 1, 1, 2, 1, 1, 1, 3
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OFFSET
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1,4
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COMMENTS
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LINKS
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FORMULA
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Multiplicative with a(p^e) = A001400(e).
Sum_{k=1..n} a(k) ~ Pi^6*zeta(3)*n/540 + Pi^2*zeta(1/2)*zeta(3/2)*sqrt(n)/6 + zeta(1/3)*zeta(2/3)*zeta(4/3)*n^(1/3) + zeta(1/4)*zeta(1/2)*zeta(3/4)*n^(1/4).
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PROG
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(PARI) for(n=1, 200, print1(direuler(p=2, n, 1/(1 - X)/(1 - X^2)/(1 - X^3)/(1 - X^4))[n], ", "))
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CROSSREFS
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KEYWORD
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nonn,mult
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AUTHOR
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STATUS
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approved
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