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Search: id:A022407
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| 3, 8, 12, 21, 34, 56, 91, 148, 240, 389, 630, 1020, 1651, 2672, 4324, 6997, 11322, 18320, 29643, 47964, 77608, 125573, 203182, 328756, 531939, 860696, 1392636, 2253333, 3645970, 5899304, 9545275, 15444580, 24989856, 40434437, 65424294
(list; graph; listen)
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OFFSET
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0,1
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FORMULA
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a(n)=Fibonacci(n)+Fibonacci(n+7)-1, n>=-2 - Zerinvary Lajos (zerinvarylajos(AT)yahoo.com), Feb 01 2008
O.g.f.: (-4*x^2 + 2*x + 3)/(x^3 - 2*x + 1) so, with B=(-8 - 6*sqrt(5))/(5 + 3*sqrt(5)), C=(-8 + 6*sqrt(5))/(5 - 3*sqrt(5)), a(n) = -1 - B*(2/(-1-sqrt(5)))^n - C*(2/(-1+sqrt(5)))^n - Lambert Herrgesell (zero815(AT)googlemail.com), Feb 24 2008
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MAPLE
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with(combinat): seq(fibonacci(n)+fibonacci(n+7)-1, n=-2..32); - Zerinvary Lajos (zerinvarylajos(AT)yahoo.com), Feb 01 2008
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CROSSREFS
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Sequence in context: A086813 A103888 A014255 this_sequence A158022 A007434 A128303
Adjacent sequences: A022404 A022405 A022406 this_sequence A022408 A022409 A022410
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KEYWORD
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nonn
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AUTHOR
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N. J. A. Sloane (njas(AT)research.att.com).
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EXTENSIONS
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More terms from James A. Sellers (sellersj(AT)math.psu.edu), Aug 08 2000
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