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

Author

Ivan Panchenko, Jun 29 2010

Keywords

• nonn

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

• Markus Tervooren, Factorizations of Silvester/Euclid sequence 16

Crossrefs

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

Programs

Mathematica

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