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Search: id:A110614
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| A110614 |
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a(n+3) = 5*a(n+2) - 2*a(n+1) - 8*a(n), a(0) = 1, a(1) = 5, a(2) = 15. |
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+0
2
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| 1, 5, 15, 57, 215, 841, 3319, 13193, 52599, 210057, 839543, 3356809, 13424503, 53692553, 214759287, 859015305, 3436017527, 13743982729, 54975756151, 219902675081, 879610001271, 3518438606985, 14073751631735, 56295000934537
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OFFSET
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0,2
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COMMENT
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See comment for A110613.
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FORMULA
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G.f. (1-8*x^2)/((4*x-1)*(2*x-1)*(x+1)); Program "Superseeker" finds: a(n) + a(n+1) = A063376(n+1)
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MAPLE
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seriestolist(series((1-8*x^2)/((4*x-1)*(2*x-1)*(x+1)), x=0, 25)); -or- Floretion Algebra Multiplication Program, FAMP Code: 2ibasejsumseq[(.5'i - .5'k - .5i' + .5k' - .5'ij' - .5'ji' - .5'jk' - .5'kj')('i + j' + 'ij' + 'ji')] Sumtype is set to: sum[Y[15]] = sum[ * ] (disregarding signs)
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CROSSREFS
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Cf. A110613, A063376.
Sequence in context: A114947 A137959 A001552 this_sequence A019045 A066886 A079569
Adjacent sequences: A110611 A110612 A110613 this_sequence A110615 A110616 A110617
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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), Jul 31 2005
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