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A329491
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Dirichlet g.f.: Sum_{n>=0} a(n+1)/(1+10n)^s = Product ((1+p^(-s))/(1-p^(-s))) (p==1 mod 5).
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0
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1, 2, 0, 2, 2, 0, 2, 2, 0, 0, 2, 0, 2, 2, 0, 2, 0, 0, 2, 2, 0, 2, 0, 0, 2, 2, 0, 2, 2, 0, 0, 2, 0, 2, 4, 0, 0, 0, 0, 0, 2, 0, 2, 2, 0, 4, 2, 0, 0, 2, 0, 0, 2, 0, 2, 0, 0, 2, 0, 0, 2, 0, 0, 2, 2, 0, 2, 4, 0, 2, 2, 0, 0, 0, 0, 2, 2, 0, 4, 0, 0, 2, 2, 0, 0
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OFFSET
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1,2
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COMMENTS
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If the D.g.f. is squared we get A031362.
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LINKS
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PROG
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(PARI)
t4=direuler(p=2, M, (1+(p%5<2)*X)) \\ p == 0 or 1 mod 5
t5=direuler(p=2, M, 1/(1+(p%5<1)*X)) \\ p == 0 mod 5
t6=dirmul(t4, t5) \\ p == 1 mod 5
t7=direuler(p=2, M, 1/(1-(p%5<2)*X))
t8=direuler(p=2, M, (1-(p%5<1)*X))
t9=dirmul(t7, t8)
t10=dirmul(t6, t9)
t11=vector(100, n, t10[10*n+1]) \\ (and then prepend 1)
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CROSSREFS
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KEYWORD
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nonn
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AUTHOR
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STATUS
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approved
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