id:A008764 - OEIS Search Results

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Number of 3 X 3 symmetric stochastic matrices under row and column permutations.

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1, 1, 2, 4, 6, 8, 12, 16, 21, 27, 34, 42, 52, 62, 74, 88, 103, 119, 138, 158, 180, 204, 230, 258, 289, 321, 356, 394, 434, 476, 522, 570, 621, 675, 732, 792, 856, 922, 992, 1066, 1143, 1223, 1308, 1396, 1488, 1584, 1684, 1788, 1897, 2009, 2126, 2248, 2374, 2504 (list; graph; listen)

	OFFSET	`0,3`
	FORMULA	`Expansion of (1+x^3)/(1-x)/(1-x^2)/(1-x^3)/(1-x^4).`
	EXAMPLE	`There are 6 nonisomorphic symmetric 3 X 3 matrices with row and column sums equal 4:` `[0 0 4] [0 1 3] [0 1 3] [0 2 2] [0 2 2] [1 1 2]` `[0 4 0] [1 2 1] [1 3 0] [2 0 2] [2 1 1] [1 2 1]` `[4 0 0] [3 1 0] [3 0 1] [2 2 0] [2 1 1] [2 1 1]`
	CROSSREFS	`Cf. A019298.` `Sequence in context: A117146 A061553 A138934 this_sequence A065386 A048951 A058629` `Adjacent sequences: A008761 A008762 A008763 this_sequence A008765 A008766 A008767`
	KEYWORD	`nonn`
	AUTHOR	`N. J. A. Sloane (njas(AT)research.att.com).`
	EXTENSIONS	`Better description and more terms from Vladeta Jovovic (vladeta(AT)eunet.rs), Feb 06 2000`

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Last modified December 4 08:07 EST 2009. Contains 170310 sequences.

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