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A038998 Sublattices of index n in generic 11-dimensional lattice. 1

%I

%S 1,2047,88573,2794155,12207031,181308931,329554457,3269560515,

%T 5883904390,24987792457,28531167061,247486690815,149346699503,

%U 674597973479,1081213356763,3571013994483,2141993519227

%N Sublattices of index n in generic 11-dimensional lattice.

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

%H <a href="/index/Su#sublatts">Index entries for sequences related to sublattices</a>

%F f(Q, n)=Sum d*f(Q-1, d), d|n; here Q=11.

%F Multiplicative with a(p^e) = product (p^(e+k)-1)/(p^k-1), k=1..10.

%F Dirichlet g.f. product_{k=0..Q-1} zeta(s-k).

%Y Cf. A001001.

%K nonn,mult

%O 1,2

%A _N. J. A. Sloane_.

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

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Last modified July 22 06:33 EDT 2019. Contains 325216 sequences. (Running on oeis4.)