Search: id:A001496 Results 1-1 of 1 results found. %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, Table of n, a(n) for n=0..1000 %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 Search completed in 0.001 seconds