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Search: id:A036068
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| A036068 |
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Expansion of (-1+1/(1-3*x)^3)/(9*x). |
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+0
6
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| 1, 6, 30, 135, 567, 2268, 8748, 32805, 120285, 433026, 1535274, 5373459, 18600435, 63772920, 216827928, 731794257, 2453663097, 8178876990, 27119434230, 89494132959, 294052151151, 962352494676, 3138105960900, 10198844372925
(list; graph; listen)
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OFFSET
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0,2
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COMMENT
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G.f. for a(n)=A027472(n+3), n >= 0, is 1/(1-3*x)^3. G.f. for A001792(n) can be written as (-1+(1-2*x)^(-2))/(x*2^2).
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LINKS
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W. Lang, On generalizations of Stirling number triangles, J. Integer Seqs., Vol. 3 (2000), #00.2.4.
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FORMULA
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a(n) = 3^(n-1)*binomial(n+3, 2); G.f.: (-1+(1-3*x)^(-3))/(x*3^2)=(1-3*x+3*x^2)/(1-3*x)^3.
G.f.: F(4,1;2;3x); [From Paul Barry (pbarry(AT)wit.ie), Sep 03 2008]
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CROSSREFS
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Cf. A001792, A027472. a(n)= A030524(n+1, 1) (first column of triangle).
Sequence in context: A032205 A007465 A073389 this_sequence A081895 A030280 A034545
Adjacent sequences: A036065 A036066 A036067 this_sequence A036069 A036070 A036071
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KEYWORD
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easy,nonn,new
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AUTHOR
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Wolfdieter Lang (wolfdieter.lang(AT)physik.uni-karlsruhe.de)
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