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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 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,2

REFERENCES

Matthias Beck and Dennis Pixton, The Ehrhart Polynomial of the Birkhoff Polytope, Discrete & Computational Geometry, 30(4)(2003), 623-637.

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.

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), 474-477. (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 LA-4434, 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

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Last modified December 15 13:23 EST 2018. Contains 318149 sequences. (Running on oeis4.)