login
This site is supported by donations to The OEIS Foundation.

 

Logo

The submissions stack has been unacceptably high for several months now. Please voluntarily restrict your submissions and please help with the editing. (We don't want to have to impose further limits.)

Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
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

Lookup | Welcome | Wiki | Register | Music | Plot 2 | Demos | Index | Browse | More | WebCam
Contribute new seq. or comment | Format | Transforms | Superseeker | Recent | More pages
The OEIS Community | Maintained by The OEIS Foundation Inc.

Content is available under The OEIS End-User License Agreement .

Last modified August 28 03:16 EDT 2015. Contains 261112 sequences.