id:A106334 - OEIS Search Results

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Decimal expansion of the function F(x) evaluated at the constant x that satisfies: F(x) - x*F'(x) = 0, where F(x) = Sum_{n>=0} x^(n*(n+1)/2).

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

	OFFSET	`1,2`
	COMMENT	`Constant A106333 divided by this constant equals constant A106335, the radius of convergence of the g.f. of A106336.`
	EXAMPLE	`F(x)=1.9873697211846841452692897833444126183427177298554574703562231` `where F(x) = 1 + x + x^3 + x^6 + x^10 + x^15 + x^21 + x^28 + ...` `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))`
	CROSSREFS	`Cf. A106333, A106335, A106332, A106336.` `Sequence in context: A094145 A002388 A011116 this_sequence A089739 A022965 A023451` `Adjacent sequences: A106331 A106332 A106333 this_sequence A106335 A106336 A106337`
	KEYWORD	`cons,nonn`
	AUTHOR	`Paul D. Hanna (pauldhanna(AT)juno.com), Apr 29 2005`

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Last modified November 24 14:25 EST 2009. Contains 167438 sequences.

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