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A038997 Sublattices of index n in generic 10-dimensional lattice. 2
1, 1023, 29524, 698027, 2441406, 30203052, 47079208, 408345795, 653757313, 2497558338, 2593742460, 20608549148, 11488207654, 48162029784, 72080070744, 222984027123, 125999618778, 668793731199 (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..18.

Index entries for sequences related to sublattices

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

CROSSREFS

Cf. A001001.

Sequence in context: A223079 A011560 A160957 * A068026 A075946 A075951

Adjacent sequences:  A038994 A038995 A038996 * A038998 A038999 A039000

KEYWORD

nonn,mult

AUTHOR

N. J. A. Sloane.

EXTENSIONS

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

STATUS

approved

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Last modified October 23 14:38 EDT 2014. Contains 248465 sequences.