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Number of equivalence classes of n X n matrices over {0,1} with rows and columns summing to 5, where equivalence is defined by row and column permutations. Isomorphism classes of bicolored 5-regular bipartite graphs, where isomorphism cannot exchange the colors.
3

%I #16 Apr 01 2020 14:27:14

%S 0,0,0,0,1,1,4,51,3529,601055,156473848,54062069505,23869437984682,

%T 13186966476208771,8971034249976338907,7414924597575224629299,

%U 7360058177440420943520750,8683626883245180573511018830,12066478410398147578519948851818,19585444567548740264243478805318202

%N Number of equivalence classes of n X n matrices over {0,1} with rows and columns summing to 5, where equivalence is defined by row and column permutations. Isomorphism classes of bicolored 5-regular bipartite graphs, where isomorphism cannot exchange the colors.

%H <a href="/index/La#Latin">Index entries for sequences related to Latin squares and rectangles</a>

%Y Column k=5 of A133687.

%Y Cf. A000512, A000513.

%K nonn

%O 1,7

%A Eric Rogoyski

%E Definition corrected by _Brendan McKay_, May 28 2006

%E Offset corrected and terms a(12) and beyond from _Andrew Howroyd_, Apr 01 2020