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A058003 Number of 5 X 5 matrices with entries mod n, up to row and column permutation. 4
1, 5624, 64796982, 79846389608, 20834113243925, 1979525296377132, 93242242505023122, 2625154125717590496, 49871029909245781491, 694584034909225304800, 7525039263469551291908, 66252712846754819753160 (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)=(1/5!^2)*(n^25 + 20*n^20 + 100*n^17 + 70*n^15 + 300*n^14 + 225*n^13 + 400*n^12 + 400*n^11 + 100*n^10 + 1600*n^9 + 2300*n^8 + 1300*n^7 + 1200*n^6 + 1824*n^5 + 480*n^4 + 1680*n^3 + 2400*n^2).

CROSSREFS

Cf. A039623, A058001, A058002, A058004, A002724, A052271, A052272.

Row n=5 of A246106.

Sequence in context: A032737 A237507 A198164 * A202098 A247261 A203831

Adjacent sequences:  A058000 A058001 A058002 * A058004 A058005 A058006

KEYWORD

easy,nonn

AUTHOR

Vladeta Jovovic, Nov 04 2000

EXTENSIONS

More terms from James A. Sellers, Nov 08 2000

STATUS

approved

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Last modified June 15 16:13 EDT 2019. Contains 324142 sequences. (Running on oeis4.)