OFFSET
0,5
COMMENTS
Shifted squares of denominators of convergents to Cahen's constant: a(n) = A006279(n-2)^2 for n > 1. - Jonathan Sondow, Aug 20 2014
REFERENCES
N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, Academic Press, 1995 (includes this sequence).
LINKS
Amiram Eldar, Table of n, a(n) for n = 0..14
Khalil Ayadi, Chiheb Ben Bechir, and Maher Saadaoui, Continued Fractions with Predictable Patterns and Transcendental Numbers, J. Int. Seq. (2025) Vol. 28, Art. No. 25.1.4.
J. L. Davison and Jeffrey O. Shallit, Continued Fractions for Some Alternating Series, Monatshefte für Mathematik, Vol. 111 (1991), pp. 119-126; alternative link.
MATHEMATICA
b[n_] := b[n] = If[n < 2, 1, b[n-2]^2*b[n-1] + b[n-2]];
a[n_] := If[n == 0, 0, b[n-2]^2];
Table[a[n], {n, 0, 10}] (* Jean-François Alcover, Sep 23 2022, after Jonathan Sondow *)
CROSSREFS
KEYWORD
nonn,easy,changed
AUTHOR
STATUS
approved