%I A001496 M5158 N2240
%S A001496 1,24,282,2008,10147,40176,132724,381424,981541,2309384,5045326,
%T A001496 10356424,20158151,37478624,66952936,115479776,193077449,313981688,
%U A001496 498033282,772409528,1173759851,1750812624,2567527260,3706873040
%N A001496 Number of 4 X 4 matrices with nonnegative integer entries and row and 
               column sums equal to n.
%C A001496 Number of 4 X 4 stochastic matrices of integers.
%D A001496 N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, 
               Academic Press, 1995 (includes this sequence).
%D A001496 N. J. A. Sloane, A Handbook of Integer Sequences, Academic Press, 1973 
               (includes this sequence).
%D A001496 A. G. Bell, Partitioning integers in n dimensions, The Computer Journal, 
               13 (1970), 278-283.
%D A001496 L. Comtet, Advanced Combinatorics, Reidel, 1974, p. 124, #25, Q(4,r).
%D A001496 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 A001496 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.
%D A001496 R. P. Stanley, Enumerative Combinatorics, Wadsworth, Vol. 1, 1986, pages 
               233-234.
%D A001496 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.
%H A001496 T. D. Noe, <a href="b001496.txt">Table of n, a(n) for n=0..1000</a>
%F A001496 G.f.: (1+14*x+87*x^2+148*x^3+87*x^4+14*x^5+x^6)/(1-x)^10.
%F A001496 binomial(n + 3, 3) + 20*binomial(n + 4, 5) + 152*binomial(n + 5, 7) + 
               352*binomial(n + 6, 9)
%Y A001496 Cf. A002817, A003438, A019298.
%Y A001496 Sequence in context: A014809 A007191 A097340 this_sequence A055754 A035707 
               A035475
%Y A001496 Adjacent sequences: A001493 A001494 A001495 this_sequence A001497 A001498 
               A001499
%K A001496 nonn,nice
%O A001496 0,2
%A A001496 N. J. A. Sloane (njas(AT)research.att.com).
%E A001496 More terms from Vladeta Jovovic (vladeta(AT)eunet.rs), Feb 06 2000