A058390 Number of 4 X 4 matrices with nonnegative integer entries and all row sums equal to n, up to row and column permutation.

1, 5, 53, 458, 3411, 19865, 95214, 383714, 1346183, 4202086, 11905966, 31061806, 75533056, 172800689, 374861365, 775978710, 1541027694, 2949003213, 5458806804, 9805626744, 17140511056

Offset: 0

Author

Vladeta Jovovic, Nov 24 2000

Keywords

• nonn

Links

• Andrew Howroyd, Table of n, a(n) for n = 0..1000
• Vladeta Jovovic, Number of m x m nonnegative integer matrices with all row sums equal to n, up to row and column permutation.

Crossrefs

Row 4 of A318951.

Cf. A002620, A058389, A058391, A058392, A001496, A052280, A052281.

Programs

Mathematica

(* See A318951 for RowSumMats *)
a[n_] := RowSumMats[4, 4, n];
a /@ Range[0, 20] (* Jean-François Alcover, Sep 15 2019, after Andrew Howroyd *)

PARI

\\ See A318951 for RowSumMats
a(n)=RowSumMats(4, 4, n); \\ Andrew Howroyd, Sep 05 2018