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A058004 Number of 6 X 6 matrices with entries mod n, up to row and column permutation. 6
1, 251610, 302752867740, 9178323524804624, 28125393244553141210, 19909522361922032493690, 5116530046996205504668323, 626072069382507442113224128, 43460016875695276108491159279 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,2

COMMENTS

Number of k X l matrices with entries mod n, up to row and column permutation is Z(S_k X S_l; n,n,...) where Z(S_k X S_l; x_1,x_2,...) is cycle index of Cartesian product of symmetric groups S_k and S_l of degree k and l, respectively.

LINKS

Alois P. Heinz, Table of n, a(n) for n = 1..1000

FORMULA

a(n)=(1/6!^2)*(n^36 + 30*n^30 + 225*n^26 + 170*n^24 + 1350*n^22 + 3225*n^20 + 4075*n^18 + 9900*n^16 + 28500*n^14 + 56048*n^12 + 61020*n^10 + 77616*n^8 + 153840*n^6 + 87840*n^4 + 34560*n^2).

CROSSREFS

Cf. A039623, A058001-A058003, A002724, A052271, A052272.

Row n=6 of A246106.

Sequence in context: A183268 A043655 A271144 * A272438 A183668 A235025

Adjacent sequences:  A058001 A058002 A058003 * A058005 A058006 A058007

KEYWORD

easy,nonn

AUTHOR

Vladeta Jovovic, Nov 04 2000

STATUS

approved

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Last modified July 21 19:25 EDT 2019. Contains 325199 sequences. (Running on oeis4.)