A179092 Variant of Sylvester's sequence: a(n + 1) = a(n)^2 - a(n) + 1, with a(1) = 16

16, 241, 57841, 3345523441, 11192527090934957041, 125272662681312932108439098957580518641, 15693240015266013784686188640793618219085803766811358216456462217808967968241

Offset

1,1

Comments

The next term (a(8)) has 153 digits. - Harvey P. Dale, May 11 2022

References

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. Solution published in Vol. 43, No. 4, September 2012, pp. 340-342

Links

Table of n, a(n) for n=1..7.

Markus Tervooren, Factorizations of Silvester/Euclid sequence 16

Mathematica

NestList[#^2-#+1&, 16, 6] (* Harvey P. Dale, May 11 2022 *)

Crossrefs

Cf. A144779, A144780, A144781, A144782, A144783, A144784, A144785

Sequence in context: A342031 A135518 A369393 * A231020 A274856 A064232

Adjacent sequences: A179089 A179090 A179091 * A179093 A179094 A179095

Keyword

nonn

Author

Ivan Panchenko, Jun 29 2010

Status

approved