A058409 -id:A058409 - cp's OEIS frontend

A058410 Number of 4 X n nonnegative integer matrices with all column sums 4, up to row and column permutation.

1, 5, 45, 407, 3411, 25142, 163711, 947909, 4949257, 23579022, 103592423, 423435205, 1622413728, 5864055622, 20102107500, 65660463140, 205176581382, 615506305973, 1778086106680, 4959845850882, 13391444267162, 35072585737475, 89275252614236, 221246652070184

Offset: 0

Vladeta Jovovic, Nov 25 2000

Number of m x l nonnegative integer matrices with all column sums equal to n, up to row and column permutation

Cf. A050532, A058390, A058407-A058409.

G.f.: 1 / 24*(1 / (1 - x)^35 + 6 / (1 - x)^9 / (1 - x^2)^13 + 3 / (1 - x)^3 / (1 - x^2)^16 + 8 / (1 - x)^2 / (1 - x^3)^11 + 6 / (1 - x) / (1 - x^2) / (1 - x^4)^8).

More terms from Sean A. Irvine, Aug 05 2022

A058194 Number of n-rowed matrices with entries {0,1,2,3} and all row sums 3, up to row and column permutation.

Original entry on oeis.org

1, 3, 21, 162, 1636, 19977, 298416, 5300296, 110219750, 2639842989, 71859429837, 2198244062193, 74860247277672, 2815351714711122, 116130005180284423, 5222901881792429337, 254791333526874348652, 13420798291405599027605, 760201936044714899316798, 46137860613934391781325337, 2990483661567310913388458734

Offset: 0

Vladeta Jovovic, Nov 27 2000

nonn

Row n=3 of A331485.

Cf. A007717, A058407, A058409, A050913.

\\ See A318951 for RowSumMats
a(n)=RowSumMats(n, 3*n, 3); \\ Andrew Howroyd, Sep 06 2018

a(11)-a(20) from Andrew Howroyd, Sep 06 2018

cp's OEIS Frontend

A058410 Number of 4 X n nonnegative integer matrices with all column sums 4, up to row and column permutation.

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