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A126115
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Numerators of sequence of fractions with e.g.f. sqrt(1+x)/(1-x).
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2
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1, 3, 11, 69, 537, 5475, 64755, 916965, 14536305, 263680515, 5239150875, 115916048325, 2768235849225, 72290366223075, 2016224400665475, 60700190066641125, 1936215798778886625, 66023235942444655875, 2370503834057244760875, 90300788789652000685125, 3603830757053442135845625
(list; graph; refs; listen; history; internal format)
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OFFSET
| 0,2
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COMMENTS
| Denominators are successive powers of 2.
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FORMULA
| (1+4*n)*sqrt(1/Pi)*GAMMA(1/2+n) - Stephen Crowley (crow(AT)crowlogic.net), Mar 25 2007
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EXAMPLE
| The fractions are 1, 3/2, 11/4, 69/8, 537/16, 5475/32, 64755/64, 916965/128, ...
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CROSSREFS
| Cf. A001147, A126119.
Sequence in context: A201259 A177008 A074504 * A018193 A121945 A009025
Adjacent sequences: A126112 A126113 A126114 * A126116 A126117 A126118
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KEYWORD
| nonn,frac
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AUTHOR
| N. J. A. Sloane (njas(AT)research.att.com), Mar 22 2007
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