id:A106335 - OEIS Search Results

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Decimal expansion of the radius of convergence of the g.f. of A106336; equals constant A106333 divided by constant A106334.

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5

3, 2, 2, 6, 2, 7, 6, 3, 2, 6, 9, 2, 1, 9, 1, 1, 3, 3, 0, 9, 6, 9, 8, 7, 1, 3, 8, 6, 7, 3, 9, 8, 3, 0, 2, 3, 3, 2, 2, 9, 0, 4, 2, 4, 3, 7, 4, 6, 7, 1, 7, 4, 5, 2, 1, 6, 0, 5, 6, 2, 0, 9, 1, 2, 4, 5, 5, 4, 8, 6, 2, 6, 7, 4, 1, 1, 1, 5, 0, 6, 4, 9, 7, 4, 7, 1, 2, 3, 7, 3, 9, 9, 1, 2, 2, 1, 4, 7, 8, 5, 3, 7, 1, 9, 0 (list; cons; graph; listen)

	OFFSET	`0,1`
	COMMENT	`The g.f. of A106336 equals (1/x)serreverse( xeta(x)/eta(x^2)^2 ).`
	FORMULA	`Constant equals the ratio x/F(x) evaluated at the constant x that satisfies: F(x) - xF'(x) = 0, where F(x) = Sum_{n>=0} x^(n(n+1)/2).`
	EXAMPLE	`x/F(x)=0.322627632692191133096987138673983023322904243746717452160562...` `where F(x) = 1 + x + x^3 + x^6 + x^10 + x^15 + x^21 + x^28 + ...` `so F(x) = 1.9873697211846841452692897833444126... (A106334)` `at x = 0.6411803884299545796456448886283011... (A106333).`
	PROGRAM	`(PARI) A106333=solve(x=.6, .7, sum(n=0, 100, (1-n(n+1)/2)x^(n(n+1)/2))); A106334=sum(n=0, 100, A106333^(n(n+1)/2)); A106335=A106333/A106334`
	CROSSREFS	`Cf. A106333, A106334, A106336.` `Sequence in context: A021035 A007567 A093055 this_sequence A065474 A111702 A091029` `Adjacent sequences: A106332 A106333 A106334 this_sequence A106336 A106337 A106338`
	KEYWORD	`cons,nonn`
	AUTHOR	`Paul D. Hanna (pauldhanna(AT)juno.com), Apr 29 2005`

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Last modified November 27 22:38 EST 2009. Contains 167602 sequences.

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