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A038995
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Number of sublattices of index n in generic 8-dimensional lattice.
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2
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1, 255, 3280, 43435, 97656, 836400, 960800, 6347715, 8069620, 24902280, 21435888, 142466800, 67977560, 245004000, 320311680, 866251507, 435984840, 2057753100, 943531280, 4241688360, 3151424000, 5466151440
(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=8.
Multiplicative with a(p^e) = product (p^(e+k)-1)/(p^k-1), k=1..7.
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: A204738 A206048 A160908 * A068024 A028524 A075940
Adjacent sequences: A038992 A038993 A038994 * A038996 A038997 A038998
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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, Mar 01 2011
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