

A003439


Number of 6 X 6 stochastic matrices of integers: all rows and columns sum to n.
(Formerly M5474)


3



1, 720, 202410, 20933840, 1047649905, 30767936616, 602351808741, 8575979362560, 94459713879600, 842286559093240, 6292583664553881, 40447642842118656, 228438173705550566, 1152877640765297760, 5271278793334883190, 22085628572718605376, 85604721304213863531
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OFFSET

0,2


REFERENCES

Matthias Beck and Dennis Pixton, The Ehrhart Polynomial of the Birkhoff Polytope, Discrete & Computational Geometry, 30(4)(2003), 623637.
D. M. Jackson and G. H. J. van Rees, The enumeration of generalized double stochastic nonnegative integer square matrices, SIAM J. Comput., 4 (1975), 474477.
N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, Academic Press, 1995 (includes this sequence).


LINKS

Alois P. Heinz, 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), 474477. (Annotated scanned copy)
Dennis Pixton, Ehrhart polynomials for n = 1, ..., 9
M. L. Stein and P. R. Stein, Enumeration of Stochastic Matrices with Integer Elements, Report LA4434, Los Alamos Scientific Laboratory of the University of California, Los Alamos, NM, Jun 1970. [Annotated scanned copy]


CROSSREFS

Row n=6 of A257493.
Sequence in context: A008411 A221436 A239184 * A222158 A145093 A221621
Adjacent sequences: A003436 A003437 A003438 * A003440 A003441 A003442


KEYWORD

nonn


AUTHOR

N. J. A. Sloane


EXTENSIONS

More terms from Melissa Erdmann (merdmann(AT)nebrwesleyan.edu), May 07 2009
Offset changed to 0 by Alois P. Heinz, Apr 26 2015
Name clarified by Charles R Greathouse IV, Mar 03 2018


STATUS

approved



