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Search: id:A003438
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| A003438 |
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Number of 5 X 5 matrices with nonnegative integer entries and row and column sums equal to n.
(Formerly M5381)
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+0
3
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| 1, 120, 6210, 153040, 2224955, 22069251, 164176640, 976395820, 4855258305, 20856798285, 79315936751, 272095118010, 854560160105, 2486299719645, 6765755480415, 17356306529251, 42250330784180, 98137852369965
(list; graph; listen)
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OFFSET
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0,2
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COMMENT
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Number of 5 X 5 stochastic matrices of integers.
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REFERENCES
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N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, Academic Press, 1995 (includes this sequence).
D. M. Jackson and G. H. J. van Rees, The enumeration of generalized double stochastic nonnegative integer square matrices, SIAM J. Comput., 4 (1975), 474-477.
R. P. Stanley, Enumerative Combinatorics, Wadsworth, Vol. 1, 1986, p. 234.
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LINKS
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T. D. Noe, Table of n, a(n) for n=0..1000
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FORMULA
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G.f.: (1 + 103*x + 4306*x^2 + 63110*x^3 + 388615*x^4 + 1115068*x^5 + 1575669*x^6 + 1115068*x^7 + 388615*x^8 + 63110*x^9 + 4306*x^10 + 103*x^11 + x^12)/(1-x)^17.
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CROSSREFS
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Cf. A002817, A001496, A019298.
Cf. A001496, A058391.
Sequence in context: A126245 A008661 A061541 this_sequence A092710 A055213 A035190
Adjacent sequences: A003435 A003436 A003437 this_sequence A003439 A003440 A003441
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KEYWORD
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nonn,easy,nice
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AUTHOR
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N. J. A. Sloane (njas(AT)research.att.com).
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EXTENSIONS
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More terms from Vladeta Jovovic (vladeta(AT)eunet.rs), Feb 06 2000
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