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A036068
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Expansion of (-1+1/(1-3*x)^3)/(9*x).
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5
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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; refs; listen; history; internal format)
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OFFSET
| 0,2
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COMMENTS
| 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
| W. Lang, On generalizations of Stirling number triangles, J. Integer Seqs., Vol. 3 (2000), #00.2.4.
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FORMULA
| 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
| Cf. A001792, A027472. a(n)= A030524(n+1, 1) (first column of triangle).
Sequence in context: A032205 A007465 A073389 * A162743 A081895 A030280
Adjacent sequences: A036065 A036066 A036067 * A036069 A036070 A036071
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KEYWORD
| easy,nonn
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AUTHOR
| Wolfdieter Lang (wolfdieter.lang(AT)physik.uni-karlsruhe.de)
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