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Search: id:A027847
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| A027847 |
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Sum sigma(n/d)*d^3; d|n. |
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+0
1
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| 1, 11, 31, 95, 131, 341, 351, 775, 850, 1441, 1343, 2945, 2211, 3861, 4061, 6231, 4931, 9350, 6879, 12445, 10881, 14773, 12191, 24025, 16406, 24321, 22990, 33345, 24419, 44671, 29823, 49911, 41633
(list; graph; listen)
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OFFSET
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1,2
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FORMULA
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Dirichlet g.f.: zeta(x-1)zeta(x-3)
Multiplicative with a(p^e) = (p^(3e+5) - (p^2+p+1)*p^(e+1) + p+1)/(p^5 - (p^2+p+1)*p + p + 1). Mitch Harris (Harris.Mitchell(AT)mgh.harvard.edu) Jun 27, 2005.
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PROGRAM
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(PARI from Joerg Arndt (arndt(AT)jjj.de), May 03, 2008)
N=17; default(seriesprecision, N); x=z+O(z^(N+1))
c=sum(j=1, N, j*x^j);
t=1/prod(j=1, N, eta(x^(j))^(j^2))
t=log(t)
t=serconvol(t, c)
Vec(t)
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CROSSREFS
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Sequence in context: A072673 A126365 A082102 this_sequence A068841 A124296 A082712
Adjacent sequences: A027844 A027845 A027846 this_sequence A027848 A027849 A027850
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KEYWORD
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nonn,mult
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AUTHOR
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njas
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