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A106332
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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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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; constant; graph; refs; listen; history; internal format)
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OFFSET
| 0,1
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COMMENTS
| Equals the radius of convergence of the g.f. of A023361 (number of compositions into sums of triangular numbers).
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EXAMPLE
| 1 = x + x^3 + x^6 + x^10 + x^15 + x^21 + x^28 + x^36 + ...
x = 0.6452227032360209791342516639440263322547274436405712210742201839013654671
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PROG
| (PARI) solve(x=0.6, 0.7, 1-sum(n=1, 60, x^(n*(n+1)/2)))
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CROSSREFS
| Sequence in context: A019166 A058158 A021159 * A140246 A130786 A197295
Adjacent sequences: A106329 A106330 A106331 * A106333 A106334 A106335
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KEYWORD
| cons,nonn
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AUTHOR
| Paul D. Hanna (pauldhanna(AT)juno.com), Apr 29 2005
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