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Search: id:A126115
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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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3
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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
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OFFSET
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0,2
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COMMENT
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Denominators are successive powers of 2.
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FORMULA
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(1+4*n)*sqrt(1/Pi)*GAMMA(1/2+n) - Stephen Crowley (crow(AT)crowlogic.net), Mar 25 2007
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EXAMPLE
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The fractions are 1, 3/2, 11/4, 69/8, 537/16, 5475/32, 64755/64, 916965/128, ...
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CROSSREFS
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Cf. A001147, A126119.
Sequence in context: A132101 A077428 A074504 this_sequence A018193 A121945 A009025
Adjacent sequences: A126112 A126113 A126114 this_sequence A126116 A126117 A126118
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KEYWORD
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nonn,frac
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AUTHOR
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njas, Mar 22 2007
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