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A038995 Number of sublattices of index n in generic 8-dimensional lattice. 2
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; text; internal format)
OFFSET

1,2

REFERENCES

M. Baake, "Solution of coincidence problem...", in R. V. Moody, ed., Math. of Long-Range Aperiodic Order, Kluwer 1997, pp. 9-44.

LINKS

Table of n, a(n) for n=1..22.

Index entries for sequences related to sublattices

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

CROSSREFS

Cf. A001001.

Sequence in context: A204738 A206048 A160908 * A068024 A028524 A075940

Adjacent sequences:  A038992 A038993 A038994 * A038996 A038997 A038998

KEYWORD

nonn,mult

AUTHOR

N. J. A. Sloane.

EXTENSIONS

Offset set to 1. - R. J. Mathar, Mar 01 2011

STATUS

approved

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Last modified May 24 17:09 EDT 2019. Contains 323533 sequences. (Running on oeis4.)