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 A083104 Second-order linear recurrence sequence with a(n) = a(n-1) + a(n-2). 6
 331635635998274737472200656430763, 1510028911088401971189590305498785, 1841664547086676708661790961929548, 3351693458175078679851381267428333, 5193358005261755388513172229357881, 8545051463436834068364553496786214 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,1 COMMENTS This is a second-order linear recurrence sequence with a(0) and a(1) coprime that does not contain any primes. It was found by Ronald Graham in 1964. LINKS Indranil Ghosh, Table of n, a(n) for n = 0..4618 Arturas Dubickas, Aivaras Novikas, Jonas Šiurys, A binary linear recurrence sequence of composite numbers, Journal of Number Theory, Volume 130, Issue 8, August 2010, Pages 1737-1749. R. L. Graham, A Fibonacci-Like sequence of composite numbers, Math. Mag. 37 (1964) 322-324. D. Ismailescu, J. Son, A New Kind of Fibonacci-Like Sequence of Composite Numbers, J. Int. Seq. 17 (2014) # 14.8.2. Tanya Khovanova, Recursive Sequences D. E. Knuth, A Fibonacci-Like sequence of composite numbers, Math. Mag. 63 (1) (1990) 21-25 J. W. Nicol, A Fibonacci-like sequence of composite numbers, The Electronic Journal of Combinatorics, Volume 6 (1999), Research Paper #R44. Prime Puzzles, Problem 31. Fibonacci- all composites sequence Index entries for linear recurrences with constant coefficients, signature (1,1). FORMULA G.f.: (331635635998274737472200656430763+1178393275090127233717389649068022*x)/(1-x-x^2). - Colin Barker, Jun 19 2012 MATHEMATICA LinearRecurrence[{1, 1}, {331635635998274737472200656430763, 1510028911088401971189590305498785}, 7] (* Harvey P. Dale, Oct 29 2016 *) PROG (PARI) a(n)=331635635998274737472200656430763*fibonacci(n-1)+ 1510028911088401971189590305498785*fibonacci(n) \\ Charles R Greathouse IV, Dec 18 2014 CROSSREFS Cf. A000032 (Lucas numbers), A000045 (Fibonacci numbers), A083103, A083105, A083216, A082411. Sequence in context: A120318 A095458 A277140 * A115531 A095460 A083103 Adjacent sequences:  A083101 A083102 A083103 * A083105 A083106 A083107 KEYWORD nonn,easy AUTHOR Harry J. Smith, Apr 23 2003 STATUS approved

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Last modified December 18 08:16 EST 2018. Contains 318219 sequences. (Running on oeis4.)