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A106335
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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
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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; constant; graph; refs; listen; history; internal format)
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OFFSET
| 0,1
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COMMENTS
| The g.f. of A106336 equals (1/x)*serreverse( x*eta(x)/eta(x^2)^2 ).
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FORMULA
| Constant equals the ratio x/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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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).
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PROG
| (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
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CROSSREFS
| Cf. A106333, A106334, A106336.
Sequence in context: A021035 A007567 A093055 * A065474 A197586 A111702
Adjacent sequences: A106332 A106333 A106334 * A106336 A106337 A106338
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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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