A109479 Weight enumerator of [64,51,6] extended BCH code.

1, 0, 0, 20160, 1067544, 37051840, 801494400, 11684617344, 119266575708, 879321948288, 4789977429888, 19616032446528, 61193769988008, 146864398476096, 273137809339136, 395577405119232, 447418802536902, 395577405119232, 273137809339136, 146864398476096

Offset

0,4

Links

Georg Fischer, Table of n, a(n) for n = 0..32

N. Heninger, E. M. Rains and N. J. A. Sloane, On the Integrality of n-th Roots of Generating Functions, arXiv:math/0509316 [math.NT], 2005-2006; J. Combinatorial Theory, Series A, 113 (2006), 1732-1745.

M. Terada, J. Asatani and T. Koumoto, Weight Distribution

Example

x^64 + 20160*x^58*y^6 + 1067544*x^56*y^8 + 37051840*x^54*y^10 + 801494400*x^52*y^12 + 11684617344*x^50*y^14 + 119266575708*x^48*y^16 + 879321948288*x^46*y^18 + 4789977429888*x^44*y^20 + 19616032446528*x^42*y^22 + 61193769988008*x^40*y^24 + 146864398476096*x^38*y^26 + 273137809339136*x^36*y^28 + 395577405119232*x^34*y^30 + 447418802536902*x^32*y^32 + 395577405119232*x^30*y^34 + 273137809339136*x^28*y^36 + 146864398476096*x^26*y^38 + 61193769988008*x^24*y^40 + 19616032446528*x^22*y^42 + 4789977429888*x^20*y^44 + 879321948288*x^18*y^46 + 119266575708*x^16*y^48 + 11684617344*x^14*y^50 + 801494400*x^12*y^52 + 37051840*x^10*y^54 + 1067544*x^8*y^56 + 20160*x^6*y^58 + y^64.

Crossrefs

Cf. A109480.

Sequence in context: A348346 A145535 A190474 * A003808 A011786 A003801

Adjacent sequences: A109476 A109477 A109478 * A109480 A109481 A109482

Keyword

nonn,fini,full

Author

N. J. A. Sloane and Nadia Heninger, Aug 29 2005

Status

approved