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Search: id:A099256
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| A099256 |
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G.f.: (-3*x^3 - 6*x^2 + 6*x + 7)/(x^4 - 3*x^2 + 1). |
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+0
2
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| 3, 8, 9, 23, 24, 61, 63, 160, 165, 419, 432, 1097, 1131, 2872, 2961, 7519
(list; graph; listen)
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OFFSET
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0,1
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COMMENT
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One of two sequences involving the Lucas/Fibonacci numbers. This sequence consists of pairs of numbers more or less close to each other with "jumps" in between pairs.
a(n+3) + a(n) - a(n+2) appears to be mysteriously connected with a(n+1).
Both this sequence and A099255 were created using "Floretion dynamical symmetries" (see link for further details).
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FORMULA
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a(2n+2) - a(2n+1) = F(2n-1).
An identity: (1/2)A099255(n) - (1/2)a(n) = ((-1)^n)A000032(n)
a(0) = 3, a(1) = 8, a(2) = 9, a(3) = 23, a(n+4) = 3a(n+2) - a(n).
a(2n) = A022086(2n+2), a(2n+1) = A022097(2n+2).
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PROGRAM
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Floretion Algebra Multiplication Program, FAMP
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CROSSREFS
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Cf. A099255, A000032.
Adjacent sequences: A099253 A099254 A099255 this_sequence A099257 A099258 A099259
Sequence in context: A084747 A101065 A080517 this_sequence A025615 A101720 A093439
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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), Oct 18 2004
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