This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.
%I A144780 #21 Dec 19 2024 16:24:32
%S A144780 6,31,931,865831,749662454731,561993796032558961827631,
%T A144780 315837026779085485103718410756049100028793244531
%N A144780 Variant of Sylvester's sequence: a(n+1) = a(n)^2 - a(n) + 1, with a(1) = 6.
%H A144780 Hugo Pfoertner, <a href="/A144780/b144780.txt">Table of n, a(n) for n = 1..11</a>
%H A144780 Mohammad K. Azarian, <a href="http://www.jstor.org/stable/10.4169/college.math.j.42.4.329">Sylvester's Sequence and the Infinite Egyptian Fraction Decomposition of 1, Problem 958</a>, College Mathematics Journal, Vol. 42, No. 4, September 2011, p. 330.
%H A144780 Mohammad K. Azarian, <a href="http://www.jstor.org/stable/10.4169/college.math.j.43.4.337">Sylvester's Sequence and the Infinite Egyptian Fraction Decomposition of 1, Solution</a> College Mathematics Journal, Vol. 43, No. 4, September 2012, pp. 340-342.
%F A144780 a(n+1) = a(n)^2 - a(n) + 1, with a(1) = 6.
%F A144780 a(n) ~ c^(2^n) where is c is 2.350117384... (A144804).
%t A144780 a = {}; k = 6; Do[AppendTo[a, k]; k = k^2 - k + 1, {n, 1, 10}]; a
%t A144780 NestList[#^2-#+1&,6,10] (* _Harvey P. Dale_, Dec 19 2024 *)
%Y A144780 Cf. A000058, A082732, A144779, A144781, A144782, A144783, A144784, A144785, A144786, A144787, A144788, A144804.
%K A144780 nonn,easy
%O A144780 1,1
%A A144780 _Artur Jasinski_, Sep 21 2008
%E A144780 a(8) moved to b-file by _Hugo Pfoertner_, Aug 30 2020