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A022346 Fibonacci sequence beginning 0, 12. 3
0, 12, 12, 24, 36, 60, 96, 156, 252, 408, 660, 1068, 1728, 2796, 4524, 7320, 11844, 19164, 31008, 50172, 81180, 131352, 212532, 343884, 556416, 900300, 1456716, 2357016, 3813732, 6170748, 9984480, 16155228, 26139708, 42294936, 68434644, 110729580, 179164224, 289893804, 469058028, 758951832, 1228009860 (list; graph; refs; listen; history; text; internal format)
OFFSET
0,2
REFERENCES
A. T. Benjamin and J. J. Quinn, Proofs that really count: the art of combinatorial proof, M.A.A. 2003, p. 15.
LINKS
Tanya Khovanova, Recursive Sequences
FORMULA
a(n) = 12*F(n) = F(n+5) + F(n-1) + F(n-3) + F(n-6) for n > 5, where F=A000045.
G.f.: 12*x/(1-x-x^2). - Philippe Deléham, Nov 20 2008
a(n) = F(n+6) + F(n-6) - 6*F(n). - Bruno Berselli, Dec 29 2016
MATHEMATICA
LinearRecurrence[{1, 1}, {0, 12}, 40] (* Harvey P. Dale, May 07 2016 *)
PROG
(PARI) a(n)=12*fibonacci(n) \\ Charles R Greathouse IV, Aug 28 2014
CROSSREFS
Cf. A000045.
Sequence in context: A354571 A309772 A335778 * A174020 A173549 A299853
KEYWORD
nonn,easy
AUTHOR
STATUS
approved

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Last modified March 19 04:26 EDT 2024. Contains 370952 sequences. (Running on oeis4.)