OFFSET
0,1
LINKS
A. N. W. Hone, Curious continued fractions, nonlinear recurrences and transcendental numbers, Journal of Integer Sequences, Vol. 18 (2015), Article 15.8.4.
A. N. W. Hone, Continued fractions for some transcendental numbers, arXiv:1509.05019 [math.NT], 2015-2016, Monatsh. Math. DOI: 10.1007/s00605-015-0844-2.
FORMULA
MATHEMATICA
(* b = A270121 *)
b[1] = 7; b[2] = 112;
b[n_] := b[n] = (b[n - 1]^2 (1 + (n - 1) b[n - 1]))/b[n - 2];
a[0] = 2; a[n_] := b[n + 1]/b[n];
Table[a[n], {n, 0, 5}] (* Jean-François Alcover, Dec 16 2018 *)
CROSSREFS
KEYWORD
nonn
AUTHOR
Andrew Hone, Mar 11 2016
STATUS
approved