login

Year-end appeal: Please make a donation to the OEIS Foundation to support ongoing development and maintenance of the OEIS. We are now in our 62nd year, we have over 390,000 sequences, and we’ve reached 12,000 citations (which often say “discovered thanks to the OEIS”).

A022370
Fibonacci sequence beginning 2, 16.
2
2, 16, 18, 34, 52, 86, 138, 224, 362, 586, 948, 1534, 2482, 4016, 6498, 10514, 17012, 27526, 44538, 72064, 116602, 188666, 305268, 493934, 799202, 1293136, 2092338, 3385474, 5477812, 8863286, 14341098
OFFSET
0,1
FORMULA
G.f.: (2+14*x)/(1-x-x^2). - Philippe Deléham, Nov 19 2008
a(n) = 2*(Fibonacci(n+2) + 6*Fibonacci(n)). - G. C. Greubel, Aug 27 2017
a(n) = 2 * A022098(n). - Alois P. Heinz, Aug 27 2017
MATHEMATICA
a={}; b=2; c=16; 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 18 2008 *)
LinearRecurrence[{1, 1}, {2, 16}, 40] (* Harvey P. Dale, Aug 11 2011 *)
PROG
(PARI) for(n=0, 50, print1(2*(fibonacci(n+2) + 6*fibonacci(n)), ", ")) \\ G. C. Greubel, Aug 27 2017
CROSSREFS
Cf. A022098.
Sequence in context: A180923 A058242 A101075 * A161802 A323193 A050850
KEYWORD
nonn
STATUS
approved