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A038999 Sublattices of index n in generic 12-dimensional lattice. 1
1, 4095, 265720, 11180715, 61035156, 1088123400, 2306881200, 26167664835, 52955405230, 249938963820, 313842837672, 2970939589800, 1941507093540, 9446678514000, 16218261652320, 57162391576563 (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..16.

Index entries for sequences related to sublattices

FORMULA

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).

CROSSREFS

Cf. A001001.

Sequence in context: A075953 A011562 A160972 * A022528 A024010 A123868

Adjacent sequences:  A038996 A038997 A038998 * A039000 A039001 A039002

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 June 18 18:52 EDT 2019. Contains 324215 sequences. (Running on oeis4.)