A052266 Number of 3 X n matrices over GF(3) under row and column permutations.

1, 10, 92, 738, 5053, 29930, 155904, 725560, 3061223, 11854073, 42564874, 142944110, 452197071, 1355697097, 3871729568, 10579613832, 27765888553, 70221521921, 171635652958, 406476831574, 934849110107, 2092203571359

Offset

0,2

Links

Table of n, a(n) for n=0..21.

Formula

G.f.: (x^24 + 28*x^23 + 148*x^22 + 518*x^21 + 1862*x^20 + 5096*x^19 + 11172*x^18 + 21813*x^17 + 37333*x^16 + 53936*x^15 + 68880*x^14 + 79114*x^13 + 79184*x^12 + 68880*x^11 + 53992*x^10 + 37277*x^9 + 21813*x^8 + 11144*x^7 + 5124*x^6 + 1862*x^5 + 526*x^4 + 140*x^3 + 28*x^2 + 1)/((1 - x^3)^8*(1 - x^2)^9*(1 - x)^10).

Crossrefs

Cf. A002727.

Sequence in context: A365217 A227512 A227513 * A027325 A228420 A037534

Adjacent sequences: A052263 A052264 A052265 * A052267 A052268 A052269

Keyword

nonn

Author

Vladeta Jovovic, Feb 04 2000

Status

approved