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A051354 Expansion of Molien series for 16-dimensional complex Clifford group of genus 4 and order 97029351014400. 4
1, 1, 2, 7, 19, 52, 172, 550, 1782, 5845, 18508, 56345, 164157, 454518, 1196924, 3003750, 7198311, 16523847, 36447873, 77478005, 159172517, 316874035, 612729396, 1153359711, 2117566545, 3798941401, 6670327291, 11479693332 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,3

LINKS

Ray Chandler, Table of n, a(n) for n = 0..1000

Ray Chandler, Mathematica program

G. Nebe, E. M. Rains and N. J. A. Sloane, Self-Dual Codes and Invariant Theory, Springer, Berlin, 2006.

M. Oura, The dimension formula for the ring of code polynomials in genus 4, Osaka J. Math. 34 (1997), 53-72.

Index entries for linear recurrences with constant coefficients, order 120.

Index entries for Molien series

FORMULA

Oura gives an explicit formula for the Molien series that produces A027672; the present sequence is the subsequence formed from the terms whose exponents are multiples of 8 (that is, every other term of A027672). In other words, the present Molien series is (f(x)+f(z*x))/2, where z = exp(2*Pi*I/8) and f(x) is the Molien series for the group H_4 given explicitly by Oura in Theorem 4.1.

EXAMPLE

1 + t^8 + 2*t^16 + 7*t^24 + 19*t^32 + 52*t^40 + 172*t^48 + ...

MATHEMATICA

See link for Mathematica program.

CROSSREFS

Cf. A027672, A003956, A008621, A008718, A024186, A008620, A028288, A043330.

Sequence in context: A227946 A099484 A018030 * A073799 A040016 A145519

Adjacent sequences:  A051351 A051352 A051353 * A051355 A051356 A051357

KEYWORD

nonn,easy,nice

AUTHOR

N. J. A. Sloane.

STATUS

approved

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Last modified April 26 11:40 EDT 2017. Contains 285444 sequences.