id:A088926 - OEIS Search Results

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Main diagonal of table A088925, which lists coefficients T(n,k) of x^n*y^k in f(x,y) that satisfies f(x,y) = 1/(1-x-y) + xy*f(x,y)^3.

+0
3

1, 3, 21, 212, 2617, 36345, 544080, 8577378, 140456625, 2368062095, 40859183247, 718386164556, 12829418522056, 232153200359592, 4248457201595622, 78508329463480160, 1463164022514939392, 27474112707608092672 (list; graph; listen)

	OFFSET	`0,2`
	COMMENT	`The g.f. for A001764 satisfies: g(x) = 1 + x*g(x)^3.`
	FORMULA	`a(n) = sum(i=0, n, C(2n, 2i)C(2n-2i, n-i)A001764(i) ), where A001764(i)=(3i)!/[i!(2i+1)! ] (from Michael Somos).`
	CROSSREFS	`Cf. A088925 (table), A088927 (antidiagonal sums), A001764.` `Sequence in context: A037967 A123691 A087918 this_sequence A120972 A158838 A107716` `Adjacent sequences: A088923 A088924 A088925 this_sequence A088927 A088928 A088929`
	KEYWORD	`nonn`
	AUTHOR	`Paul D. Hanna (pauldhanna(AT)juno.com), Oct 23 2003`

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Last modified November 25 20:09 EST 2009. Contains 167514 sequences.

AT&T Labs Research