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A081924
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Expansion of exp(3x)/(1-x)^2.
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2
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1, 5, 27, 159, 1029, 7353, 58095, 506691, 4860297, 51023277, 583097859, 7215769575, 96210083853, 1375803720801, 21012273704151, 341449444105227, 5883436565417745, 107162594556721749, 2057521815411573483
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OFFSET
| 0,2
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COMMENTS
| Binomial transform of A081923
Polynomials in A010027 evaluated at 4. - Ralf Stephan, Dec 15 2004
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FORMULA
| E.g.f. exp(3x)/(1-x)^2
Define f_1(x),f_2(x),... such that f_1(x)=x*e^x, f_{n+1}(x)=diff(x*f_n(x),x), for n=2,3,.... Then a(n-1)=e^{-1/2}*2^n*f_n(1/2). - Milan R. Janjic (agnus(AT)blic.net), May 30 2008
G.f.: hypergeom([1,2],[],x/(1-3*x))/(1-3*x) - Mark van Hoeij, Nov 08 2011
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CROSSREFS
| Sequence in context: A101386 A153233 A084076 * A138772 A082425 A202248
Adjacent sequences: A081921 A081922 A081923 * A081925 A081926 A081927
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KEYWORD
| easy,nonn
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AUTHOR
| Paul Barry (pbarry(AT)wit.ie), Apr 01 2003
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