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A135254
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Binomial transform of A131666.
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0
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0, 0, 1, 4, 12, 33, 90, 252, 729, 2160, 6480, 19521, 58806, 176904, 531441, 1595052, 4785156, 14353281, 43053282, 129146724, 387420489, 1162241784, 3486725352, 10460235105, 31380882462, 94143001680, 282429536481, 847289140884
(list; graph; refs; listen; history; internal format)
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OFFSET
| 0,4
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FORMULA
| O.g.f.: x^2(2x-1)/[(3x^2-3x+1)(3x-1)]. a(n)=6*a(n-1)-12*a(n-2)+9*a(n-3). - R. J. Mathar (mathar(AT)strw.leidenuniv.nl), Apr 02 2008
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MATHEMATICA
| CoefficientList[Series[x^2(2x-1)/((3x^2-3x+1)(3x-1)), {x, 0, 30}], x] (* or *) Join[{0}, LinearRecurrence[{6, -12, 9}, {0, 1, 4}, 30]] (* From Harvey P. Dale, May 26 2011 *)
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CROSSREFS
| Cf. A133474.
Sequence in context: A070050 A186025 A027941 * A000754 A119683 A135373
Adjacent sequences: A135251 A135252 A135253 * A135255 A135256 A135257
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KEYWORD
| nonn
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AUTHOR
| Paul Curtz (bpcrtz(AT)free.fr), Nov 30 2007
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EXTENSIONS
| More terms from R. J. Mathar (mathar(AT)strw.leidenuniv.nl), Apr 02 2008
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