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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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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; refs; listen; history; internal format)
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OFFSET
| 0,2
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COMMENTS
| Number of 5 X 5 stochastic matrices of integers.
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REFERENCES
| 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.
N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, Academic Press, 1995 (includes this sequence).
R. P. Stanley, Enumerative Combinatorics, Wadsworth, Vol. 1, 1986, p. 234.
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LINKS
| T. D. Noe, Table of n, a(n) for n=0..1000
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FORMULA
| 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
| Cf. A002817, A001496, A019298.
Cf. A001496, A058391.
Sequence in context: A126245 A008661 A061541 * A092710 A177758 A055213
Adjacent sequences: A003435 A003436 A003437 * A003439 A003440 A003441
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KEYWORD
| nonn,easy,nice
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AUTHOR
| N. J. A. Sloane (njas(AT)research.att.com).
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EXTENSIONS
| More terms from Vladeta Jovovic (vladeta(AT)eunet.rs), Feb 06 2000
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