id:A086611 - OEIS Search Results

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Row sums of triangle of coefficients (A086610) where T(n,k) is the coefficient of x^n*y^k in f(x,y) that satisfies f(x,y) = (1-x-x^2)/(1-x)^2 + xy*f(x,y)^2.

+0
2

1, 2, 4, 11, 36, 129, 486, 1892, 7546, 30675, 126642, 529600, 2238782, 9551583, 41075698, 177865921, 774875488, 3393896499, 14936139018, 66014016044, 292892796930, 1304062558529, 5824639004518, 26091657768331 (list; graph; listen)

	OFFSET	`0,2`
	FORMULA	`G.f.: A(x) = (1-x-x^2)/(1-x)^2 + x*A(x)^2.`
	EXAMPLE	`a(3)=-1+1+6+5=11, a(4)=-2-2+6+20+14=36, a(5)=-3-6-4+30+70+42=129.`
	CROSSREFS	`Cf. A086610 (triangle), A086632.` `Sequence in context: A000088 A071794 A107378 this_sequence A035098 A138301 A118182` `Adjacent sequences: A086608 A086609 A086610 this_sequence A086612 A086613 A086614`
	KEYWORD	`nonn`
	AUTHOR	`Paul D. Hanna (pauldhanna(AT)juno.com), Jul 24 2003`

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Last modified December 10 12:37 EST 2009. Contains 170569 sequences.

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