A186620 Fibonacci sequence beginning 12, 25.

12, 25, 37, 62, 99, 161, 260, 421, 681, 1102, 1783, 2885, 4668, 7553, 12221, 19774, 31995, 51769, 83764, 135533, 219297, 354830, 574127, 928957, 1503084, 2432041, 3935125, 6367166, 10302291, 16669457, 26971748, 43641205, 70612953, 114254158, 184867111

Offset

0,1

Links

Table of n, a(n) for n=0..34.

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

Formula

G.f.: -(12+13*x) / ( -1+x+x^2 ). - R. J. Mathar, Mar 18 2011

Mathematica

Join[{a=12, b=25}, Table[c=a+b; a=b; b=c, {n, 60}]]
Transpose[NestList[{Last[#], First[#]+Last[#]}&, {12, 25}, 50]][[1]] (* or *) LinearRecurrence[{1, 1}, {12, 25}, 40] (* Harvey P. Dale, Mar 13 2011 *)

Prog

(Python)
a = [12, 25]
[a.append(a[-1] + a[-2]) for n in range(33)]
print(a) # Michael S. Branicky, Dec 25 2021

Crossrefs

Cf. A000032, A000045.

Sequence in context: A239147 A136739 A372029 * A042851 A280324 A041280

Adjacent sequences: A186617 A186618 A186619 * A186621 A186622 A186623

Keyword

nonn,easy

Author

Vladimir Joseph Stephan Orlovsky, Feb 28 2011

Status

approved