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A038999
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Sublattices of index n in generic 12-dimensional lattice.
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1
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1, 4095, 265720, 11180715, 61035156, 1088123400, 2306881200, 26167664835, 52955405230, 249938963820, 313842837672, 2970939589800, 1941507093540, 9446678514000, 16218261652320, 57162391576563
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OFFSET
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1,2
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REFERENCES
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M. Baake, "Solution of coincidence problem...", in R. V. Moody, ed., Math. of Long-Range Aperiodic Order, Kluwer 1997, pp. 9-44.
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LINKS
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Table of n, a(n) for n=1..16.
Index entries for sequences related to sublattices
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FORMULA
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f(Q, n)=Sum d*f(Q-1, d), d|n; here Q=12.
Multiplicative with a(p^e) = product (p^(e+k)-1)/(p^k-1), k=1..11.
Dirichlet g.f. product_{k=0..Q-1} zeta(s-k).
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CROSSREFS
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Cf. A001001.
Sequence in context: A075953 A011562 A160972 * A022528 A024010 A123868
Adjacent sequences: A038996 A038997 A038998 * A039000 A039001 A039002
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KEYWORD
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nonn,mult
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AUTHOR
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N. J. A. Sloane.
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EXTENSIONS
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Offset set to 1. - R. J. Mathar, Apr 01 2011
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STATUS
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approved
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