login
Number of 6 X 6 matrices with nonnegative integer entries and all row sums equal to n, up to row and column permutation.
6

%I #12 Sep 07 2018 11:56:40

%S 1,11,782,96073,9283247,537001197,19578605324,487615778173,

%T 8892272235593,125319645293555,1423054983691408,13451239365449764,

%U 108603794657349271,764673059329865921,4775254548845993462,26820549989969591853,137072193873357150230,643738505766475169048

%N Number of 6 X 6 matrices with nonnegative integer entries and all row sums equal to n, up to row and column permutation.

%H Andrew Howroyd, <a href="/A058392/b058392.txt">Table of n, a(n) for n = 0..1000</a>

%H V. Jovovic, <a href="/A058389/a058389a.pdf">Number of m x m nonnegative integer matrices with all row sums equal to n, up to row and column permutation.</a>

%o (PARI) \\ See A318951 for RowSumMats

%o a(n)=RowSumMats(6, 6, n); \\ _Andrew Howroyd_, Sep 05 2018

%Y Row 6 of A318951.

%Y Cf. A002620, A058389-A058391, A003439, A005467.

%K nonn

%O 0,2

%A _Vladeta Jovovic_, Nov 24 2000

%E Terms a(15) and beyond from _Andrew Howroyd_, Sep 05 2018