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 A022134 Fibonacci sequence beginning 4, 17. 0
 4, 17, 21, 38, 59, 97, 156, 253, 409, 662, 1071, 1733, 2804, 4537, 7341, 11878, 19219, 31097, 50316, 81413, 131729, 213142, 344871, 558013, 902884, 1460897, 2363781, 3824678, 6188459, 10013137, 16201596 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,1 LINKS Tanya Khovanova, Recursive Sequences Index entries for linear recurrences with constant coefficients, signature (1, 1). FORMULA From Alois P. Heinz, Jul 31 2008: (Start) G.f.: (4+13*x)/(1-x-x^2). a(n) = term (1,1) in the 1x2 matrix [4,13] . [1,1; 1,0]^n. (End) MAPLE a:= n -> (Matrix([[4, 13]]).Matrix([[1, 1], [1, 0]])^n)[1, 1]: seq(a(n), n=0..35);  # Alois P. Heinz, Jul 31 2008 MATHEMATICA a={}; b=4; c=17; AppendTo[a, b]; AppendTo[a, c]; Do[b=b+c; AppendTo[a, b]; c=b+c; AppendTo[a, c], {n, 4!}]; a (* Vladimir Joseph Stephan Orlovsky, Sep 17 2008 *) LinearRecurrence[{1, 1}, {4, 17}, 40] (* Harvey P. Dale, Sep 05 2015 *) CROSSREFS Sequence in context: A212748 A032828 A193379 * A041529 A042033 A281464 Adjacent sequences:  A022131 A022132 A022133 * A022135 A022136 A022137 KEYWORD nonn AUTHOR STATUS approved

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Last modified December 12 00:07 EST 2018. Contains 318052 sequences. (Running on oeis4.)