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A058390 Number of 4 X 4 matrices with nonnegative integer entries and all row sums equal to n, up to row and column permutation. 7
1, 5, 53, 458, 3411, 19865, 95214, 383714, 1346183, 4202086, 11905966, 31061806, 75533056, 172800689, 374861365, 775978710, 1541027694, 2949003213, 5458806804, 9805626744, 17140511056 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,2

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.

MATHEMATICA

(* See A318951 for RowSumMats *)

a[n_] := RowSumMats[4, 4, n];

a /@ Range[0, 20] (* Jean-Fran├žois Alcover, Sep 15 2019, after Andrew Howroyd *)

PROG

(PARI) \\ See A318951 for RowSumMats

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

CROSSREFS

Row 4 of A318951.

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

Sequence in context: A069632 A069617 A173879 * A221236 A198963 A293082

Adjacent sequences:  A058387 A058388 A058389 * A058391 A058392 A058393

KEYWORD

nonn

AUTHOR

Vladeta Jovovic, Nov 24 2000

STATUS

approved

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Last modified January 23 07:07 EST 2020. Contains 331168 sequences. (Running on oeis4.)