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A062072 Continued fraction expansion of Fibonacci factorial constant. 2
1, 4, 2, 2, 3, 2, 15, 9, 1, 2, 1, 2, 15, 7, 6, 21, 3, 5, 1, 23, 1, 11, 1, 7, 1, 3, 1, 12, 2, 1, 1, 1, 7, 1, 3, 1, 12, 2, 1, 2, 2, 9, 27, 1, 1, 1, 1, 2, 19, 3, 8, 1, 1, 15, 3, 1, 2, 1, 1, 1, 3, 2, 3, 8, 1, 1, 14, 1, 49, 2, 1, 17, 4, 2, 1, 2, 2, 1, 3, 1, 5, 1, 1, 3, 1, 2, 1, 4, 1, 2, 5, 1, 3, 2, 1, 1, 2, 6 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,2

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 = 1..5000

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, " ", x[n])) } \\ Harry J. Smith, Jul 31 2009

CROSSREFS

Cf. A062073.

Sequence in context: A049849 A112349 A231821 * A140395 A061505 A255708

Adjacent sequences:  A062069 A062070 A062071 * A062073 A062074 A062075

KEYWORD

easy,nonn,cofr

AUTHOR

Jason Earls, Jun 27 2001

STATUS

approved

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Last modified June 15 22:19 EDT 2019. Contains 324145 sequences. (Running on oeis4.)