A022398 Fibonacci sequence beginning 1, 28.

1, 28, 29, 57, 86, 143, 229, 372, 601, 973, 1574, 2547, 4121, 6668, 10789, 17457, 28246, 45703, 73949, 119652, 193601, 313253, 506854, 820107, 1326961, 2147068, 3474029, 5621097, 9095126, 14716223, 23811349, 38527572, 62338921, 100866493, 163205414, 264071907, 427277321

Offset

0,2

Links

G. C. Greubel, 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.: (1+27*x)/(1-x-x^2). - Philippe Deléham, Nov 20 2008

a(n) = (2^(-1-n)*((1-sqrt(5))^n*(-55+sqrt(5)) + (1+sqrt(5))^n*(55+sqrt(5)))) / sqrt(5). - Colin Barker, Mar 02 2018

Mathematica

Table[Fibonacci[n + 2] + 26*Fibonacci[n], {n, 0, 50}] (* G. C. Greubel, Mar 01 2018 *)

Prog

(PARI) for(n=0, 40, print1(fibonacci(n+2) + 26*fibonacci(n), ", ")) \\ G. C. Greubel, Mar 01 2018
(Magma) [Fibonacci(n+2) + 26*Fibonacci(n): n in [0..40]]; // G. C. Greubel, Mar 01 2018

Crossrefs

Sequence in context: A364041 A093681 A044874 * A042580 A042578 A042582

Adjacent sequences: A022395 A022396 A022397 * A022399 A022400 A022401

Keyword

nonn

Author

N. J. A. Sloane

Extensions

Terms a(30) onward added by G. C. Greubel, Mar 01 2018

Status

approved