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 A144780 Variant of Sylvester's sequence: a(n+1) = a(n)^2 - a(n) + 1, with a(1) = 6. 17
 6, 31, 931, 865831, 749662454731, 561993796032558961827631, 315837026779085485103718410756049100028793244531 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,1 LINKS Hugo Pfoertner, Table of n, a(n) for n = 1..11 Mohammad K. Azarian, Sylvester's Sequence and the Infinite Egyptian Fraction Decomposition of 1, Problem 958, College Mathematics Journal, Vol. 42, No. 4, September 2011, p. 330. Mohammad K. Azarian, Sylvester's Sequence and the Infinite Egyptian Fraction Decomposition of 1, Solution College Mathematics Journal, Vol. 43, No. 4, September 2012, pp. 340-342. FORMULA a(n+1) = a(n)^2 - a(n) + 1, with a(1) = 6. a(n) ~ c^(2^n) where is c is 2.350117384... (A144804). MATHEMATICA a = {}; k = 6; Do[AppendTo[a, k]; k = k^2 - k + 1, {n, 1, 10}]; a CROSSREFS Cf. A000058, A082732, A144779, A144781, A144782, A144783, A144784, A144785, A144786, A144787, A144788, A144804. Sequence in context: A120107 A015462 A006115 * A126976 A045159 A121002 Adjacent sequences:  A144777 A144778 A144779 * A144781 A144782 A144783 KEYWORD nonn,easy AUTHOR Artur Jasinski, Sep 21 2008 EXTENSIONS a(8) moved to b-file by Hugo Pfoertner, Aug 30 2020 STATUS approved

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Last modified September 20 05:58 EDT 2020. Contains 337264 sequences. (Running on oeis4.)