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A022369
Fibonacci sequence beginning 2, 14.
2
2, 14, 16, 30, 46, 76, 122, 198, 320, 518, 838, 1356, 2194, 3550, 5744, 9294, 15038, 24332, 39370, 63702, 103072, 166774, 269846, 436620, 706466, 1143086, 1849552, 2992638, 4842190, 7834828, 12677018
OFFSET
0,1
FORMULA
G.f.: (2+12*x)/(1-x-x^2). - Philippe Deléham, Nov 19 2008
a(n) = 2*(Fibonacci(n+2) + 5*Fibonacci(n)). - G. C. Greubel, Aug 27 2017
a(n) = 2 * A022097(n). - Alois P. Heinz, Aug 27 2017
MATHEMATICA
a={}; b=2; c=14; 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 *)
Transpose[NestList[{Last[#], Total[#]}&, {2, 14}, 40]][[1]] (* Harvey P. Dale, Apre 13 2011 *)
LinearRecurrence[{1, 1}, {2, 14}, 40] (* Harvey P. Dale, Oct 05 2019 *)
PROG
(PARI) for(n=0, 50, print1(2*(Fibonacci(n+2) + 5*Fibonacci(n)), ", ")) \\ G. C. Greubel, Aug 27 2017
CROSSREFS
Cf. A022097.
Sequence in context: A121716 A194379 A147832 * A367461 A278975 A096508
KEYWORD
nonn
STATUS
approved