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A126963
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Numerators of sequence defined by f(0)=1, f(1)=5/4; f(n) = (6n-1)*f(n-1)/(4n) - (2n-1)*f(n-2)/(4n).
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1
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1, 5, 43, 177, 2867, 11531, 92479, 370345, 11857475, 47442055, 379582629, 1518418695, 24295375159, 97182800711, 777467420263, 3109879375897, 199032580597603, 796130905791967, 6369049515119561, 25476202478636219, 407619274119811709, 1630477163761481141
(list; graph; refs; listen; history; internal format)
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OFFSET
| 0,2
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REFERENCES
| D. Doster, Problem 1318, Three Term Recurrence, Math. Magazine, 63 (1990), 127-128.
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FORMULA
| f(n) = Sum(binomial(-1/2,k)*(-1/2)^k,k=0..n).
f(n) -> sqrt(2) as n -> oo.
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CROSSREFS
| Denominators are in A088802.
Sequence in context: A152866 A102851 A173554 * A038140 A178826 A082311
Adjacent sequences: A126960 A126961 A126962 * A126964 A126965 A126966
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KEYWORD
| nonn,frac
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AUTHOR
| N. J. A. Sloane (njas(AT)research.att.com), Mar 20 2007
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