%I A003438 M5381
%S A003438 1,120,6210,153040,2224955,22069251,164176640,976395820,4855258305,
%T A003438 20856798285,79315936751,272095118010,854560160105,2486299719645,
%U A003438 6765755480415,17356306529251,42250330784180,98137852369965
%N A003438 Number of 5 X 5 matrices with nonnegative integer entries and row and 
               column sums equal to n.
%C A003438 Number of 5 X 5 stochastic matrices of integers.
%D A003438 N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, 
               Academic Press, 1995 (includes this sequence).
%D A003438 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 A003438 R. P. Stanley, Enumerative Combinatorics, Wadsworth, Vol. 1, 1986, p. 
               234.
%H A003438 T. D. Noe, <a href="b003438.txt">Table of n, a(n) for n=0..1000</a>
%F A003438 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.
%Y A003438 Cf. A002817, A001496, A019298.
%Y A003438 Cf. A001496, A058391.
%Y A003438 Sequence in context: A126245 A008661 A061541 this_sequence A092710 A055213 
               A035190
%Y A003438 Adjacent sequences: A003435 A003436 A003437 this_sequence A003439 A003440 
               A003441
%K A003438 nonn,easy,nice
%O A003438 0,2
%A A003438 N. J. A. Sloane (njas(AT)research.att.com).
%E A003438 More terms from Vladeta Jovovic (vladeta(AT)eunet.rs), Feb 06 2000