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Search: id:A126963
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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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+0
2
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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
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OFFSET
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0,2
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REFERENCES
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D. Doster, Problem 1318, Three Term Recurrence, Math. Magazine, 63 (1990), 127-128.
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FORMULA
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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
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Denominators are in A088802.
Sequence in context: A139885 A152866 A102851 this_sequence A038140 A082311 A156886
Adjacent sequences: A126960 A126961 A126962 this_sequence A126964 A126965 A126966
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KEYWORD
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nonn,frac
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AUTHOR
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N. J. A. Sloane (njas(AT)research.att.com), Mar 20 2007
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