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Search: id:A088854
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| A088854 |
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a(n) = (2^(n-1))*(integral_{x=0 to 1} (1+x^2)^n dx)/(integral_{x=0 to 1} (1-x^2)^n dx). |
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1
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| 2, 7, 24, 83, 292, 1046, 3808, 14051, 52412, 197202, 747120, 2846318, 10892936, 41844172, 161247104, 623034403, 2412871916, 9363311482, 36399254864, 141721774138, 552572485496, 2157194452852, 8431104269504, 32986010380558
(list; graph; listen)
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OFFSET
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1,1
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FORMULA
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G.f.: 1/(2*(1-2*x)*sqrt(1-4*x)). - Vladeta Jovovic (vladeta(AT)eunet.rs), Dec 14 2003
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EXAMPLE
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a(3) = 24.
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MATHEMATICA
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f[n_] := 2^(n - 1)Integrate[(1 + x^2)^n, {x, 0, 1}] / Integrate[(1 - x^2)^n, {x, 0, 1}]; Table[ f[n], {n, 1, 24}] (from Robert G. Wilson v Feb 27 2004)
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CROSSREFS
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Cf. A082590.
Sequence in context: A021000 A003480 A020727 this_sequence A000777 A144170 A052986
Adjacent sequences: A088851 A088852 A088853 this_sequence A088855 A088856 A088857
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KEYWORD
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nonn
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AUTHOR
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Al Hakanson (hawkuu(AT)excite.com), Nov 24 2003
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EXTENSIONS
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More terms from Robert G. Wilson v (rgwv(AT)rgwv.com), Feb 27 2004
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