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 A058001 Number of 3 X 3 matrices with entries mod n, up to row and column permutation. 6
 1, 36, 738, 8240, 57675, 289716, 1144836, 3780288, 10865205, 27969700, 65834406, 143887536, 295467263, 575308020, 1069960200, 1911933696, 3298486761, 5516122788, 8972008810, 14233690800, 22078652211, 33555443636, 50058302988, 73417387200, 106006948125 (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 Index entries for linear recurrences with constant coefficients, signature (10,-45,120,-210,252,-210,120,-45,10,-1). FORMULA a(n) = (1/3!^2)*(n^9 + 6*n^6 + 9*n^5 + 8*n^3 + 12*n^2). G.f.: x*(12*x^7+369*x^6+2514*x^5+4375*x^4+2360*x^3+423*x^2+26*x+1) / (x-1)^10. - Colin Barker, Jul 09 2013 CROSSREFS Cf. A058002-A058004, A002724, A052271, A052272. Row n=3 of A246106. Sequence in context: A223998 A109405 A064541 * A004329 A089909 A049434 Adjacent sequences:  A057998 A057999 A058000 * A058002 A058003 A058004 KEYWORD easy,nonn AUTHOR Vladeta Jovovic, Nov 04 2000 STATUS approved

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Last modified October 19 13:01 EDT 2019. Contains 328222 sequences. (Running on oeis4.)