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A038997
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Sublattices of index n in generic 10-dimensional lattice.
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2
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1, 1023, 29524, 698027, 2441406, 30203052, 47079208, 408345795, 653757313, 2497558338, 2593742460, 20608549148, 11488207654, 48162029784, 72080070744, 222984027123, 125999618778, 668793731199
(list; graph; refs; listen; history; internal format)
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OFFSET
| 1,2
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REFERENCES
| 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
| Index entries for sequences related to sublattices
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FORMULA
| f(Q, n)=Sum d*f(Q-1, d), d|n; here Q=10.
Multiplicative with a(p^e) = product (p^(e+k)-1)/(p^k-1), k=1..9.
Dirichlet g.f. product_{k=0..Q-1} zeta(s-k). - R. J. Mathar, Apr 01 2011
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CROSSREFS
| Cf. A001001.
Sequence in context: A023060 A011560 A160957 * A068026 A075946 A075951
Adjacent sequences: A038994 A038995 A038996 * A038998 A038999 A039000
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KEYWORD
| nonn,mult
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AUTHOR
| N. J. A. Sloane (njas(AT)research.att.com).
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EXTENSIONS
| Offset set to 1. - R. J. Mathar, Apr 01 2011
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