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 A082411 Second-order linear recurrence sequence with a(n) = a(n-1) + a(n-2). 5
 407389224418, 76343678551, 483732902969, 560076581520, 1043809484489, 1603886066009, 2647695550498, 4251581616507, 6899277167005, 11150858783512, 18050135950517, 29200994734029, 47251130684546, 76452125418575, 123703256103121, 200155381521696, 323858637624817 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,1 COMMENTS a(0) = 407389224418, a(1) = 76343678551. 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 John Nicol in 1999. LINKS Alois P. Heinz, Table of n, a(n) for n = 0..1000 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. Herbert S. Wilf, Letters to the Editor Math. Mag. 63, 284, 1990. Index entries for linear recurrences with constant coefficients, signature (1,1). FORMULA G.f.: (407389224418-331045545867*x)/(1-x-x^2). [Colin Barker, Jun 19 2012] MAPLE a:= n-> (<<0|1>, <1|1>>^n. <<407389224418, 76343678551>>)[1, 1]: seq(a(n), n=0..20);  # Alois P. Heinz, Apr 04 2013 CROSSREFS Cf. A000032 (Lucas numbers), A000045 (Fibonacci numbers), A083103, A083104, A083105, A083216. Sequence in context: A080122 A269417 A281963 * A113952 A218865 A289111 Adjacent sequences:  A082408 A082409 A082410 * A082412 A082413 A082414 KEYWORD nonn,easy AUTHOR Harry J. Smith, Apr 23 2003 STATUS approved

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Last modified September 16 08:36 EDT 2019. Contains 327091 sequences. (Running on oeis4.)