OFFSET
1,2
COMMENTS
For more details on this type of continued fractions, see A233588.
This one corresponds to the squares of natural numbers.
LINKS
Stanislav Sykora, Table of n, a(n) for n = 1..20000
S. Sykora, Blazys' Expansions and Continued Fractions, Stans Library, Vol.IV, 2013, DOI 10.3247/sl4math13.001
S. Sykora, PARI/GP scripts for Blazys expansions and fractions, OEIS Wiki
FORMULA
Equals 1+1/(4+4/(9+9/(16+16/(25+25/(36+...))))).
EXAMPLE
1.22628402418269027481493710086224039619081148735362359550166652...
MATHEMATICA
RealDigits[ Fold[(#2 + #2/#1) &, 1, Reverse@ Range[45]^2], 10, 111][[1]] (* Robert G. Wilson v, May 22 2014 *)
PROG
(PARI) See the link
CROSSREFS
KEYWORD
cons,nonn
AUTHOR
Stanislav Sykora, Jan 06 2014
STATUS
approved