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 A003438 Number of 5 X 5 matrices with nonnegative integer entries and row and column sums equal to n. (Formerly M5381) 4
 1, 120, 6210, 153040, 2224955, 22069251, 164176640, 976395820, 4855258305, 20856798285, 79315936751, 272095118010, 854560160105, 2486299719645, 6765755480415, 17356306529251, 42250330784180, 98137852369965 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,2 COMMENTS Number of 5 X 5 stochastic matrices of integers. 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. LINKS T. D. Noe, Table of n, a(n) for n = 0..1000 D. M. Jackson & G. H. J. van Rees, The enumeration of generalized double stochastic nonnegative integer square matrices, SIAM J. Comput., 4.4 (1975), 474-477. (Annotated scanned copy) M. L. Stein and P. R. Stein, Enumeration of Stochastic Matrices with Integer Elements, Report LA-4434, Los Alamos Scientific Laboratory of the University of California, Los Alamos, NM, Jun 1970. [Annotated scanned copy] 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. MATHEMATICA CoefficientList[Series[(1+103x+4306x^2+63110x^3+388615x^4+1115068x^5+ 1575669x^6+1115068x^7+388615x^8+63110x^9+4306x^10+103x^11+x^12)/ (1-x)^17, {x, 0, 30}], x] (* Harvey P. Dale, Aug 17 2013 *) CROSSREFS Cf. A002817, A001496, A019298. Cf. A001496, A058391. Row n=5 of A257493. Sequence in context: A246284 A289292 A061541 * A222157 A092710 A177758 Adjacent sequences:  A003435 A003436 A003437 * A003439 A003440 A003441 KEYWORD nonn,easy,nice AUTHOR EXTENSIONS More terms from Vladeta Jovovic, Feb 06 2000 STATUS approved

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Last modified November 17 18:55 EST 2018. Contains 317276 sequences. (Running on oeis4.)