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Search: id:A082032
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| A082032 |
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Expansion of exp(2x)/(1-2x). |
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+0
5
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| 1, 4, 20, 128, 1040, 10432, 125248, 1753600, 28057856, 505041920, 10100839424, 222218469376, 5333243269120, 138664325005312, 3882601100165120, 116478033004986368, 3727297056159629312, 126728099909427527680
(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 A010844
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REFERENCES
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Michael Z. Spivey and Laura L. Steil, The k-Binomial Transforms and the Hankel Transform, Journal of Integer Sequences, Vol. 9 (2006), Article 06.1.1.
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FORMULA
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E.g.f. exp(2x)/(1-2x)
a(n) = 2^n*A000522(n). - Vladeta Jovovic (vladeta(AT)eunet.rs), Oct 29 2003
a(n)=2n*a(n)+2^n, n>0, a(0)=1. - Paul Barry (pbarry(AT)wit.ie), Aug 26 2004
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CROSSREFS
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Cf. A082033.
Sequence in context: A007550 A080795 A126674 this_sequence A140585 A132436 A038173
Adjacent sequences: A082029 A082030 A082031 this_sequence A082033 A082034 A082035
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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), Apr 02 2003
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