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A058409
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Number of 4 X n nonnegative integer matrices with all column sums 3, up to row and column permutation.
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2
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1, 3, 18, 92, 458, 1982, 7928, 28592, 95138, 292993, 845027, 2295322, 5915631, 14535676, 34224682, 77510148, 169459010, 358698558, 737106306, 1473867060, 2873564862, 5472731212, 10198198452, 18621343624, 33361303957, 58713103696
(list; graph; refs; listen; history; internal format)
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OFFSET
| 0,2
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LINKS
| Vladeta Jovovic, Number of m x l nonnegative integer matrices with all column sums equal to n, up to row and column permutation
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FORMULA
| G.f.: 1 / 24*(1 / (1 - x)^20 + 6 / (1 - x)^6 / (1 - x^2)^7 + 3 / (1 - x^2)^10 + 8 / (1 - x)^2 / (1 - x^3)^6 + 6 / (1 - x^4)^5).
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CROSSREFS
| Cf. A050532, A058390, A058407, A058408, A058410.
Sequence in context: A133594 A092691 A064671 * A125833 A129547 A081151
Adjacent sequences: A058406 A058407 A058408 * A058410 A058411 A058412
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KEYWORD
| easy,nonn
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AUTHOR
| Vladeta Jovovic (vladeta(AT)eunet.rs), Nov 25 2000
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EXTENSIONS
| More terms from Max Alekseyev (maxale(AT)gmail.com), Jun 21 2011
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