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Search: id:A126119
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| A126119 |
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Numerators of sequence of fractions with e.g.f. (1+x)/(1-x)^(3/2). |
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+0
3
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| 1, 5, 27, 195, 1785, 19845, 259875, 3918915, 66891825, 1274998725, 26843892075, 618718975875, 15495473018025, 419010239773125, 12167108660581875, 377607284571391875, 12473420957563190625, 436953531082636693125, 16179945969799083346875, 631461179013117650071875
(list; graph; listen)
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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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E.g.f.: (1+2*x)/(1-2*x)^(3/2)
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EXAMPLE
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The fractions are 1, 5/2, 27/4, 195/8, 1785/16, 19845/32, 259875/64, ...
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PROGRAM
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(PARI) {a(n)= if(n<0, 0, n!* polcoeff( (1+2*x)/ (1-2*x +x*O(x^n))^(3/2), n))} /* Michael Somos Apr 08 2007 */
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CROSSREFS
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Cf. A001174, A126115.
Sequence in context: A091101 A134703 A023811 this_sequence A105631 A135627 A002401
Adjacent sequences: A126116 A126117 A126118 this_sequence A126120 A126121 A126122
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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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