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A110058
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Number of nonnegative integer matrices of order n for which all sum and column sums equal n.
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0
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1, 3, 55, 10147, 22069251, 602351808741, 215717608046511873, 1046591482728407939338275, 70417932475495769964322670258947, 66880713903767740581650957184096513655153, 909176713758393122455793478657031533216492953328933, 178876969166665269546249744608783223036842010760723370462856181, 514016665650183402309555825250370336139392333285719205357202846243695510965
(list; graph; refs; listen; history; internal format)
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OFFSET
| 1,2
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COMMENTS
| Computed by a method that involves summing a multivariate generating function over roots of unity.
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REFERENCES
| E. R. Canfield and B. D. McKay, to appear.
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EXAMPLE
| a(2) = 3 due to the matrices [1,1 | 1,1], [0,2 | 2,0] and [2,0 | 0,2].
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CROSSREFS
| Cf. A058407, A058410, A058391.
Sequence in context: A172932 A172950 A172962 * A083869 A119188 A111451
Adjacent sequences: A110055 A110056 A110057 * A110059 A110060 A110061
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KEYWORD
| nonn
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AUTHOR
| Brendan D. McKay (bdm(AT)cs.anu.edu.au), Sep 04 2005
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