id:A097189 - OEIS Search Results

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Row sums of triangle A097186, in which the n-th row polynomial R_n(y) is formed from the initial (n+1) terms of g.f. A057083(y)^(n+1), where R_n(1/3) = 3^n for all n>=0.

+0
2

1, 7, 55, 451, 3781, 32131, 275563, 2378971, 20640907, 179791327, 1571002291, 13762897435, 120832716655, 1062818450155, 9363143224315, 82600459304203, 729572125425661, 6450872644562491, 57092964352312951, 505729048454449651 (list; graph; listen)

	OFFSET	`0,2`
	FORMULA	`G.f.: A(x) = 3/((1-9x) + 2(1-9x)^(2/3)). G.f.: A(x) = A004988(x)/(1 - xA097188(x)).`
	PROGRAM	`(PARI) a(n)=polcoeff(3/((1-9x)+2(1-9x+xO(x^n))^(2/3)), n, x)`
	CROSSREFS	`Cf. A097186, A057083, A004988, A097188.` `Sequence in context: A070997 A122372 A083068 this_sequence A049028 A096951 A113714` `Adjacent sequences: A097186 A097187 A097188 this_sequence A097190 A097191 A097192`
	KEYWORD	`nonn`
	AUTHOR	`Paul D. Hanna (pauldhanna(AT)juno.com), Aug 03 2004`

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Last modified December 15 00:47 EST 2009. Contains 170825 sequences.

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