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Search: id:A102714
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| A102714 |
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G.f.: (x+2)/((x+1)(x^2-3x+1)). |
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+0
1
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| 2, 5, 14, 36, 95, 248, 650, 1701, 4454, 11660, 30527, 79920, 209234, 547781, 1434110, 3754548, 9829535, 25734056, 67372634, 176383845, 461778902, 1208952860, 3165079679, 8286286176, 21693778850, 56795050373, 148691372270
(list; graph; listen)
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OFFSET
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0,1
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COMMENT
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A floretion-generated sequence relating Fibonacci numbers.
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LINKS
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Index entries for sequences related to linear recurrences with constant coefficients
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FORMULA
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a(n) = 2*a(n-1) + 2*a(n-2) - a(n-3), a(0) = 2, a(1) = 5, a(2) = 14; a(n) + a(n+1) = A100545(n); a(n) + 2*a(n+1) + a(n+2) = A055849(n+2); a(n) + 2*A001654(n) - A099016(n+2) + 2*A001519(n) = 0
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PROGRAM
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Floretion Algebra Multiplication Program, FAMP code: (a(n)) = 2dia[I]forseq[ + .5'i + .5'ii' + .5'ij' + .5'ik' ], 2dia[J]forseq = 2dia[K]forseq = A001654, mixforseq = A001519, tesforseq = A099016, vesforseq = A000004. Identity used: dia[I] + dia[J] + dia[K] + mix + tes = ves
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CROSSREFS
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Cf. A001519, A099016, A001654, A100545, A055849, A000004.
Sequence in context: A080039 A131408 A137917 this_sequence A087223 A005955 A062197
Adjacent sequences: A102711 A102712 A102713 this_sequence A102715 A102716 A102717
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KEYWORD
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easy,nonn
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AUTHOR
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Creighton Dement (creighton.k.dement(AT)uni-oldenburg.de), Feb 06 2005
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EXTENSIONS
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Corrected by T. D. Noe (noe(AT)sspectra.com), Nov 02 2006
Corrected by T. D. Noe (noe(AT)sspectra.com), Nov 07 2006
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