cp's OEIS Frontend

A377061 Number of inequivalent n X 3 nonnegative integer arrays with row sums 3 and column sums n up to permutations of rows and columns.

%I A377061 #5 Oct 14 2024 20:30:04
%S A377061 1,1,2,5,9,14,28,44,73,118,184,276,422,610,880,1248,1742,2383,3250,
%T A377061 4341,5758,7550,9808,12600,16103,20352,25572,31890,39519,48620,59548,
%U A377061 72432,87703,105629,126642,151077,179572,212428,250408,294024,344052,401106,466260,540110,623908
%N A377061 Number of inequivalent n X 3 nonnegative integer arrays with row sums 3 and column sums n up to permutations of rows and columns.
%e A377061 The a(2) = 2 matrices are:
%e A377061   [2 1 0]   [1 1 1]
%e A377061   [0 1 2]   [1 1 1]
%e A377061 .
%e A377061 The a(3) = 5 matrices are:
%e A377061   [3 0 0]   [3 0 0]   [2 1 0]   [2 1 0]   [1 1 1]
%e A377061   [0 3 0]   [0 2 1]   [1 1 1]   [1 0 2]   [1 1 1]
%e A377061   [0 0 3]   [0 1 2]   [0 1 2]   [0 2 1]   [1 1 1]
%Y A377061 Column k=3 of A377060.
%Y A377061 Cf. A172743, A377062.
%K A377061 nonn
%O A377061 0,3
%A A377061 _Andrew Howroyd_, Oct 14 2024