OFFSET
1,2
REFERENCES
J. Borwein and D. Bailey, Mathematics by Experiment, Plausible Reasoning in the 21st Century, A. K. Peters, p. 77.
LINKS
G. C. Greubel, Table of n, a(n) for n = 1..10000
FORMULA
For n > 1, a(10*n-9) = 4*n-4, a(10*n-8) = 1, a(10*n-7) = 2, a(10*n-4) = 8*n-5, a(10*n-5) = 36*n-15, a(10*n-4) = 8*n-2, a(10*n-3) = 36*n-3, a(10*n-2) = 8*n, a(10*n-1) = 1, a(10*n) = 2.
Empirical g.f.: x*(2*x^21 +x^20 -2*x^19 -x^18 +3*x^16 +2*x^15 +15*x^14 +5*x^13 -2*x^12 -5*x^11 +2*x^10 +2*x^9 +x^8 +8*x^7 +33*x^6 +6*x^5 +21*x^4 +3*x^3 +2*x^2 +3*x +1) / (x^20 -2*x^10 +1). - Colin Barker, Jun 28 2013
MATHEMATICA
ContinuedFraction[3Tanh[1/Sqrt[2]]/Sqrt[2], 78] (* Benoit Cloitre, Oct 02 2006 *)
PROG
(Magma) SetDefaultRealField(RealField(220)); ContinuedFraction( (Sqrt(2)+1/Sqrt(2))*Tanh(1/Sqrt(2)) ); // G. C. Greubel, Jul 19 2023
(SageMath) continued_fraction_list((sqrt(2)+1/sqrt(2))*tanh(1/sqrt(2)), nterms=100) # G. C. Greubel, Jul 19 2023
CROSSREFS
KEYWORD
nonn,cofr
AUTHOR
Benoit Cloitre, Oct 02 2006
STATUS
approved