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 A022125 Fibonacci sequence beginning 3, 14. 3
 3, 14, 17, 31, 48, 79, 127, 206, 333, 539, 872, 1411, 2283, 3694, 5977, 9671, 15648, 25319, 40967, 66286, 107253, 173539, 280792, 454331, 735123, 1189454, 1924577, 3114031, 5038608, 8152639, 13191247, 21343886, 34535133, 55879019, 90414152, 146293171, 236707323 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,1 LINKS Colin Barker, Table of n, a(n) for n = 0..1000 Tanya Khovanova, Recursive Sequences Index entries for linear recurrences with constant coefficients, signature (1, 1). FORMULA G.f.: (3 + 11*x)/(1 - x - x^2). - Philippe Deléham, Nov 19 2008 a(n) = h*Fibonacci(n+k) + Fibonacci(n+k-h) with h=6, k=2. - Bruno Berselli, Feb 20 2017 From Colin Barker, Feb 20 2017: (Start) a(n) = (2^(-1-n)*((1-sqrt(5))^n*(-25+3*sqrt(5)) + (1+sqrt(5))^n*(25+3*sqrt(5)))) / sqrt(5). a(n) = a(n-1) + a(n-2) for n>1. (End) MATHEMATICA LinearRecurrence[{1, 1}, {3, 14}, 40] (* Harvey P. Dale, Oct 24 2013 *) PROG (PARI) Vec((3 + 11*x) / (1 - x - x^2) + O(x^50)) \\ Colin Barker, Feb 20 2017 CROSSREFS Cf. A000045. Sequence in context: A022890 A032920 A134767 * A121459 A121226 A063633 Adjacent sequences:  A022122 A022123 A022124 * A022126 A022127 A022128 KEYWORD nonn,easy AUTHOR STATUS approved

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Last modified September 22 18:50 EDT 2018. Contains 315270 sequences. (Running on oeis4.)