0,2

Number of 4 X 4 stochastic matrices of integers.

N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, Academic Press, 1995 (includes this sequence).

N. J. A. Sloane, A Handbook of Integer Sequences, Academic Press, 1973 (includes this sequence).

A. G. Bell, Partitioning integers in n dimensions, The Computer Journal, 13 (1970), 278-283.

L. Comtet, Advanced Combinatorics, Reidel, 1974, p. 124, #25, Q(4,r).

I. J. Good, On the application of symmetric Dirichlet distributions and their mixtures to contingency tables. Ann. Statist. 4 (1976), no. 6, 1159-1189.

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, pages 233-234.

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.

T. D. Noe, Table of n, a(n) for n=0..1000

G.f.: (1+14*x+87*x^2+148*x^3+87*x^4+14*x^5+x^6)/(1-x)^10.

binomial(n + 3, 3) + 20*binomial(n + 4, 5) + 152*binomial(n + 5, 7) + 352*binomial(n + 6, 9)

Cf. A002817, A003438, A019298.

Sequence in context: A014809 A007191 A097340 this_sequence A055754 A035707 A035475

Adjacent sequences: A001493 A001494 A001495 this_sequence A001497 A001498 A001499

nonn,nice

N. J. A. Sloane (njas(AT)research.att.com).

More terms from Vladeta Jovovic (vladeta(AT)eunet.rs), Feb 06 2000