OFFSET
0,2
REFERENCES
R. Graham, D. E. Knuth, O. Patashnik, Concrete Mathematics, Addison Wesley, 1990, pp. 478, 571.
LINKS
Harry J. Smith, Table of n, a(n) for n = 0..4999
Simon Plouffe, Plouffe's Inverter
FORMULA
C = (1-a)*(1-a^2)*(1-a^3)... 1.2267420... where a = -1/phi^2 and where phi is the Golden ratio = 1/2 + sqrt(5)/2.
EXAMPLE
1.2267420107203532444176302...
PROG
(PARI) \p 500 a=-1/(1/2+sqrt(5)/2)^2; contfrac(prod(n=1, 17000, (1-a^n)))
(PARI) { allocatemem(932245000); default(realprecision, 5300); p=-1/(1/2 + sqrt(5)/2)^2; x=contfrac(prodinf(k=1, 1-p^k)); for (n=1, 5000, write("b062072.txt", n-1, " ", x[n])) } \\ Harry J. Smith, Jul 31 2009
CROSSREFS
KEYWORD
easy,nonn,cofr
AUTHOR
Jason Earls, Jun 27 2001
EXTENSIONS
Offset changed by Andrew Howroyd, Aug 04 2024
STATUS
approved