id:A097184 - OEIS Search Results

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G.f. A(x) satisfies A097182(x*A(x)) = A(x), and so equals the ratio of the g.f.s of any two adjacent diagonals of triangle A097181.

+0
5

1, 7, 70, 805, 9982, 129766, 1742572, 23960365, 335445110, 4763320562, 68418604436, 992069764322, 14499481170860, 213349508656940, 3157572728122712, 46968894330825341, 701770538825272742 (list; graph; listen)

	OFFSET	`0,2`
	FORMULA	`G.f.: A(x) = (1-(1-16x)^(1/8))/(2x). G.f.: A(x) = (1/x)*(series reversion of x/A097182(x)). a(n) = A097183(n)/(n+1).`
	PROGRAM	`(PARI) a(n)=polcoeff((1-(1-16x+x^2O(x^n))^(1/8))/(2*x), n, x)`
	CROSSREFS	`Cf. A097181, A097182, A097183.` `Adjacent sequences: A097181 A097182 A097183 this_sequence A097185 A097186 A097187` `Sequence in context: A043034 A015251 A078246 this_sequence A002296 A027394 A113343`
	KEYWORD	`nonn`
	AUTHOR	`Paul D. Hanna (pauldhanna(AT)juno.com), Aug 03 2004`

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Last modified October 6 16:13 EDT 2008. Contains 144667 sequences.

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