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Search: id:A102206
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| A102206 |
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a(0) = 3, a(1) = 8, a(n+2) = 4*a(n+1) - a(n) - 2. |
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3
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| 3, 8, 27, 98, 363, 1352, 5043, 18818, 70227, 262088, 978123, 3650402, 13623483, 50843528, 189750627, 708158978, 2642885283, 9863382152, 36810643323, 137379191138, 512706121227, 1913445293768, 7141075053843, 26650854921602
(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.: (2x-1)(x-3)/((1-x)(x^2-4x+1)); a(n) = A092184(n+1) + 2; a(n+1) - a(n) = A001834(n+1) (see comment)
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MATHEMATICA
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a[0] = 3; a[1] = 8; a[n_] := a[n] = 4a[n - 1] - a[n - 2] - 2; Table[a[n], {n, 0, 23}] (* Or *)
CoefficientList[ Series[(2x - 1)(x - 3)/((1 - x)(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. A092184, A001834, A001353, A102207.
Sequence in context: A148844 A145760 A102318 this_sequence A110886 A104854 A030495
Adjacent sequences: A102203 A102204 A102205 this_sequence A102207 A102208 A102209
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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
Recurrence in the definition corrected by R. J. Mathar (mathar(AT)strw.leidenuniv.nl), Aug 07 2008
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