A179090 Variant of Sylvester's sequence: a(n + 1) = a(n)^2 - a(n) + 1, with a(1) = 14.

14, 183, 33307, 1109322943, 1230597390756858307, 1514369938137587813730274566118047943, 2293316309534841541915473293317407057146218304394352680966696226728483307

Offset: 1

Author

Ivan Panchenko, Jun 29 2010

Keywords

• nonn

Comments

The next term (a(8)) has 145 digits. - Harvey P. Dale, Jul 14 2021

Links

• 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.
• Markus Tervooren, Factorizations of Silvester/Euclid sequence 14

Crossrefs

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

Programs

Mathematica

NestList[#^2-#+1&,14,8] (* Harvey P. Dale, Jul 14 2021 *)