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Search: id:A102207
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| A102207 |
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a(n) = 5a(n-1) - 5a(n-2) + a(n-3) with a(0) = 4, a(1) = 17, a(2) = 65. |
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| 4, 17, 65, 244, 912, 3405, 12709, 47432, 177020, 660649, 2465577, 9201660, 34341064, 128162597, 478309325, 1785074704, 6661989492, 24862883265, 92789543569, 346295291012, 1292391620480, 4823271190909, 18000693143157
(list; graph; listen)
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OFFSET
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0,1
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FORMULA
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G.f.: (3x-4)/((x-1)(x^2-4x+1))
(1/2) [A001353(n+1) + 5*A001353(n) - 1 ]. - Ralf Stephan, May 17 2007
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MATHEMATICA
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a[0] = 4; a[1] = 17; a[2] = 65; a[n_] := a[n] = 5a[n - 1] - 5a[n - 2] + a[n - 3]; Table[ a[n], {n, 0, 22}] (* Or *)
CoefficientList[ Series[(3x - 4)/((x - 1)(x^2 - 4x + 1)), {x, 0, 22}], x] (from Robert G. Wilson v Jan 12 2005)
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CROSSREFS
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Cf. A061278, A092184, A001834, A001353, A102206.
Sequence in context: A119916 A005784 A095252 this_sequence A045992 A046723 A030529
Adjacent sequences: A102204 A102205 A102206 this_sequence A102208 A102209 A102210
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KEYWORD
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nonn
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AUTHOR
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Creighton Dement (creighton.k.dement(AT)uni-oldenburg.de), Dec 30 2004
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EXTENSIONS
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More terms from Robert G. Wilson v (rgwv(AT)rgwv.com), Jan 12 2005
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