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A082032
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Expansion of exp(2x)/(1-2x).
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4
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1, 4, 20, 128, 1040, 10432, 125248, 1753600, 28057856, 505041920, 10100839424, 222218469376, 5333243269120, 138664325005312, 3882601100165120, 116478033004986368, 3727297056159629312, 126728099909427527680
(list; graph; refs; listen; history; internal format)
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OFFSET
| 0,2
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COMMENTS
| Binomial transform of A010844. a(n) = b such that Integral_{x=0..1} (2*x)^n*exp(-x) dx = c - b*exp(-1). - Francesco Daddi (francesco.daddi(AT)libero.it), Jul 31 2011
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REFERENCES
| 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
| 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
| Cf. A082033.
Sequence in context: A080795 A126674 A196557 * A140585 A132436 A038173
Adjacent sequences: A082029 A082030 A082031 * A082033 A082034 A082035
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KEYWORD
| easy,nonn
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AUTHOR
| Paul Barry (pbarry(AT)wit.ie), Apr 02 2003
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