A157681 Fibonacci sequence beginning 29, 31.

29, 31, 60, 91, 151, 242, 393, 635, 1028, 1663, 2691, 4354, 7045, 11399, 18444, 29843, 48287, 78130, 126417, 204547, 330964, 535511, 866475, 1401986, 2268461, 3670447, 5938908, 9609355, 15548263, 25157618, 40705881, 65863499, 106569380

Offset

1,1

Links

Harvey P. Dale, Table of n, a(n) for n = 1..1000

Index entries for linear recurrences with constant coefficients, signature (1, 1).

Formula

a(n) = a(n-1) + a(n-2), a(0)=29, a(1)=31.

From G. C. Greubel, Nov 17 2018: (Start)

a(n) = 27*Fibonacci(n) + 2*Fibonacci(n+1).

G.f.: x*(29+2*x)/(1-x-x^2). (End)

Mathematica

LinearRecurrence[{1, 1}, {29, 31}, 40] (* Harvey P. Dale, Dec 05 2014 *)
Table[27*Fibonacci[n] +2*Fibonacci[n+1], {n, 1, 40}] (* G. C. Greubel, Nov 17 2018 *)

Prog

(PARI) vector(40, n, 27*fibonacci(n) + 2*fibonacci(n+1)) \\ G. C. Greubel, Nov 17 2018
(Magma) [27*Fibonacci(n) + 2*Fibonacci(n+1): n in [1..40]]; // G. C. Greubel, Nov 17 2018
(Sage) [27*fibonacci(n)+2*fibonacci(n+1) for n in (1..10)] # G. C. Greubel, Nov 17 2018
(GAP) List([1..40], n -> 27*Fibonacci(n)+2*Fibonacci(n+1)); # G. C. Greubel, Nov 17 2018

Crossrefs

Sequence in context: A132243 A125523 A156976 * A288615 A158342 A077286

Adjacent sequences: A157678 A157679 A157680 * A157682 A157683 A157684

Keyword

nonn,easy

Author

Kyle D. Balliet, Mar 04 2009

Status

approved