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

Author

Kyle D. Balliet, Mar 04 2009

Keywords

• nonn
• easy

Links

• Harvey P. Dale, Table of n, a(n) for n = 1..1000
• Index entries for linear recurrences with constant coefficients, signature (1, 1).

Programs

GAP

List([1..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

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 *)

PARI

vector(40, n, 27*fibonacci(n) + 2*fibonacci(n+1)) \\ 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

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)