A100025 - OEIS

This site is supported by donations to The OEIS Foundation.

A100025

Molien series for complete weight enumerators of trace-additive Hermitian self-dual codes over the Galois ring GR(4,2) that contain the all-ones vector.

1, 1, 7, 21, 92, 291, 981, 2871, 8134, 21131, 52481, 122759, 275356, 590289, 1220811, 2436045, 4715827, 8866230, 16246890, 29054190, 50830264, 87104226, 146467614, 241934106, 393098860, 628867434, 991602894, 1542350194, 2368492984, 3593354974 (list; graph; refs; listen; history; internal format)

	OFFSET	`0,3`
	LINKS	`G. Nebe, E. M. Rains and N. J. A. Sloane, Self-Dual Codes and Invariant Theory, Springer, Berlin, 2006.` `Index entries for Molien series`
	FORMULA	`G.f.: u1/u2 where u1 := f(t) + t^(-41)f(1/t), u2 := (1-t)(1-t^2)^6(1-t^4)^7(1-t^8)^2 and` `f(t) := 1 + 14t^3 + 43t^4 + 115t^5 + 334t^6 + 808t^7 + 1752t^8 + 3557t^9 + 6448t^10 + 10800t^11 + 17020t^12 + 24972t^13 + 34704t^14 + 45824t^15 + 57298t^16 + 68464t^17 + 78120t^18 + 85092t^19 + 88922*t^20.`
	CROSSREFS	`Sequence in context: A114902 A177369 A164544 * A121157 A038184 A001185` `Adjacent sequences: A100022 A100023 A100024 * A100026 A100027 A100028`
	KEYWORD	`nonn`
	AUTHOR	`G. Nebe (nebe(AT)math.rwth-aachen.de), Nov 10, 2004`

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

Last modified February 15 21:27 EST 2012. Contains 205859 sequences.