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Search: id:A084262
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| A084262 |
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Binomial transform of double factorials. |
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+0
2
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| 1, 2, 6, 28, 188, 1656, 17992, 232016, 3460368, 58574368, 1109200736, 23230928832, 533139875776, 13304094478208, 358653008619648, 10387075613199616, 321626829363798272, 10602925778746753536, 370770015836513986048
(list; graph; listen)
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OFFSET
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0,2
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COMMENT
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Binomial transform of A001147.
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FORMULA
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a(n) := sum{k=0..n, C(n, k)(2k)!/(k!2^k) }; E.g.f. : exp(x)/(1-2x)^(1/2).
a(n)=(1/sqrt(2*pi))*int(x^n*exp((1-x)/2)/sqrt(x-1),x,1,infty); - Paul Barry (pbarry(AT)wit.ie), Jan 28 2008
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CROSSREFS
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Adjacent sequences: A084259 A084260 A084261 this_sequence A084263 A084264 A084265
Sequence in context: A002435 A104018 A100526 this_sequence A084870 A111342 A008964
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KEYWORD
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easy,nonn
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AUTHOR
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Paul Barry (pbarry(AT)wit.ie), May 26 2003
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