The On-Line Encyclopedia of Integer Sequences (OEIS)

Revision History for A333734 (Bold, blue-underlined text is an addition; faded, red-underlined text is a ~~deletion~~.)
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A333734

Number of non-isomorphic n X n nonnegative integer matrices with all row and column sums equal to n up to permutations of rows and columns.
(history; published version)

#5 by Alois P. Heinz at Sat Apr 04 19:03:44 EDT 2020

STATUS

proposed

approved

#4 by Andrew Howroyd at Sat Apr 04 16:48:20 EDT 2020

STATUS

editing

proposed

#3 by Andrew Howroyd at Sat Apr 04 14:26:44 EDT 2020

EXAMPLE

The a(2) = 2 matrices are:

[1 1] [2 0]

[1 1] [0 2]

.

The a(3) = 5 matrices are:

[1 1 1] [2 1 0] [2 1 0] [3 0 0] [3 0 0]

[1 1 1] [1 1 1] [0 2 1] [0 2 1] [0 3 0]

[1 1 1] [0 1 2] [1 0 2] [0 1 2] [0 0 3]

#2 by Andrew Howroyd at Sat Apr 04 14:15:26 EDT 2020

NAME

allocated for Andrew HowroydNumber of non-isomorphic n X n nonnegative integer matrices with all row and column sums equal to n up to permutations of rows and columns.

DATA

1, 1, 2, 5, 43, 1856, 1217727, 8597641912, 646296747486387, 535435113671568180963, 5081029530811947425598907884

OFFSET

0,3

CROSSREFS

Main diagonal of A333733.

Cf. A110058.

KEYWORD

allocated

nonn,more

AUTHOR

Andrew Howroyd, Apr 04 2020

STATUS

approved

editing

#1 by Andrew Howroyd at Fri Apr 03 17:28:18 EDT 2020

NAME

allocated for Andrew Howroyd

KEYWORD

allocated

STATUS

approved