login
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
OFFSET
0,1
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 A372749
KEYWORD
nonn
AUTHOR
STATUS
approved