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 A106332 Decimal expansion of the constant x that satisfies: 1 = Sum_{n>=1} x^(n*(n+1)/2). 3
 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; constant; graph; refs; listen; history; text; internal format)
 OFFSET 0,1 COMMENTS Equals the radius of convergence of the g.f. of A023361 (number of compositions into sums of triangular numbers). LINKS EXAMPLE 1 = x + x^3 + x^6 + x^10 + x^15 + x^21 + x^28 + x^36 + ... x = 0.6452227032360209791342516639440263322547274436405712210742201839013654671 MATHEMATICA x /. FindRoot[ EllipticTheta[2, 0, Sqrt[x]] == 4*x^(1/8), {x, 1/2}, WorkingPrecision -> 110] // RealDigits[#, 10, 105]& // First (* Jean-François Alcover, Feb 13 2013 *) PROG (PARI) solve(x=0.6, 0.7, 1-sum(n=1, 60, x^(n*(n+1)/2))) CROSSREFS Cf. A023361. Sequence in context: A058158 A249185 A021159 * A247319 A140246 A130786 Adjacent sequences:  A106329 A106330 A106331 * A106333 A106334 A106335 KEYWORD cons,nonn AUTHOR Paul D. Hanna, Apr 29 2005 STATUS approved

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Last modified August 24 02:32 EDT 2019. Contains 326260 sequences. (Running on oeis4.)