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Search: id:A081924
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| A081924 |
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Expansion of exp(3x)/(1-x)^2. |
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+0
3
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| 1, 5, 27, 159, 1029, 7353, 58095, 506691, 4860297, 51023277, 583097859, 7215769575, 96210083853, 1375803720801, 21012273704151, 341449444105227, 5883436565417745, 107162594556721749, 2057521815411573483
(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 A081923
Polynomials in A010027 evaluated at 4. - Ralf Stephan, Dec 15 2004
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FORMULA
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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
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CROSSREFS
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Adjacent sequences: A081921 A081922 A081923 this_sequence A081925 A081926 A081927
Sequence in context: A052227 A101386 A084076 this_sequence A062512 A138772 A082425
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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 01 2003
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