id:A106332 - OEIS Search Results

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Decimal expansion of the constant x that satisfies: 1 = Sum_{n>=1} x^(n*(n+1)/2).

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

	OFFSET	`0,1`
	COMMENT	`Equals the radius of convergence of the g.f. of A023361 (number of compositions into sums of triangular numbers).`
	EXAMPLE	`1 = x + x^3 + x^6 + x^10 + x^15 + x^21 + x^28 + x^36 + ...` `x = 0.6452227032360209791342516639440263322547274436405712210742201839013654671`
	PROGRAM	`(PARI) solve(x=0.6, 0.7, 1-sum(n=1, 60, x^(n*(n+1)/2)))`
	CROSSREFS	`Sequence in context: A019166 A058158 A021159 this_sequence A140246 A130786 A153606` `Adjacent sequences: A106329 A106330 A106331 this_sequence A106333 A106334 A106335`
	KEYWORD	`cons,nonn`
	AUTHOR	`Paul D. Hanna (pauldhanna(AT)juno.com), Apr 29 2005`

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Last modified November 25 20:09 EST 2009. Contains 167514 sequences.

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