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A144781 Variant of Sylvester's sequence: a(n+1) = a(n)^2 - a(n) + 1, with a(1) = 8. 15
8, 57, 3193, 10192057, 103878015699193, 10790642145601683494645152057, 116437957914435303575899742229333045108448631998006179193, 13557798043283806950297045269968250387897834581711367551819275131055206893868524458302302046950954641412419952057 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

LINKS

Table of n, a(n) for n=1..8.

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) ~ c^(2^n) where is c is 2.74167747444233776776... (A144805).

MATHEMATICA

a = {}; k = 8; Do[AppendTo[a, k]; k = k^2 - k + 1, {n, 1, 10}]; a

NestList[#^2-#+1&, 8, 10] (* Harvey P. Dale, Jan 29 2017 *)

CROSSREFS

Cf. A000058, A082732, A144805.

Sequence in context: A324205 A002402 A015464 * A026948 A111585 A055839

Adjacent sequences:  A144778 A144779 A144780 * A144782 A144783 A144784

KEYWORD

nonn

AUTHOR

Artur Jasinski, Sep 21 2008

STATUS

approved

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