id:A086629 - OEIS Search Results

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Symmetric square table of coefficients, read by antidiagonals, where T(n,k) is the coefficient of x^n*y^k in f(x,y) that satisfies f(x,y) = 1/[(1-x)(1-y)] + xy*f(x,y)^3.

+0
3

1, 1, 1, 1, 2, 1, 1, 4, 4, 1, 1, 7, 13, 7, 1, 1, 11, 34, 34, 11, 1, 1, 16, 76, 124, 76, 16, 1, 1, 22, 151, 370, 370, 151, 22, 1, 1, 29, 274, 952, 1419, 952, 274, 29, 1, 1, 37, 463, 2185, 4573, 4573, 2185, 463, 37, 1, 1, 46, 739, 4579, 12892, 18037, 12892, 4579, 739, 46, 1 (list; table; graph; listen)

	OFFSET	`0,5`
	COMMENT	`If 1 is subtracted from every element of the table, the resulting table forms the coefficients of f(x,y)^3, where f(x,y) = 1/[(1-x)(1-y)] + xy*f(x,y)^3.`
	CROSSREFS	`Cf. A086630 (diagonal), A086631 (antidiagonal sums).` `Sequence in context: A034368 A118245 A104382 this_sequence A126770 A056588 A137854` `Adjacent sequences: A086626 A086627 A086628 this_sequence A086630 A086631 A086632`
	KEYWORD	`nonn,tabl`
	AUTHOR	`Paul D. Hanna (pauldhanna(AT)juno.com), Jul 27 2003`

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Last modified September 8 08:06 EDT 2008. Contains 143486 sequences.

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