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

1,1

Comments

The next term (a(8)) has 145 digits. - ~~~

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 14

Mathematica

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

Crossrefs

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

Sequence in context: A186229 A181237 A091030 * A165152 A263384 A198703

Adjacent sequences: A179087 A179088 A179089 * A179091 A179092 A179093

Keyword

nonn

Author

Ivan Panchenko, Jun 29 2010

Status

approved