OFFSET
1,2
COMMENTS
1+ 1/(2 +3/(5 + 8/(13 + ... .
Cited inaccurately in the second reference because they used only the first 28 terms.
Mu's simple continued fraction: 1, 2, 1, 1, 6, 3, 1, 1, 3, 2, 2, 2, 9, 1, 1, 1, 13, 1, 1, 189, 1, 10, 2, 6, 1, 6, 1, 5, 1, 59, 4, 24, 1, 42, 2, 1, 59, 1, 1, 2, 1, ....
Mu's increasingly larger PQ's: 1, 2, 6, 9, 13, 189, 1138, 4150, 6165, 90642, 90676, 526142, 757765, 20411415, 35535156, 271384175, ..., at positions: 1, 2, 5, 13, 17, 20, 454, 529, 708, 1832, 9248, 9631, 211052, 552035, 4552470, 4928425, (9290954)....
REFERENCES
Alfred S. Posamentier & Ingmar Lehmann, The (Fabulous) Fibonacci Numbers, Prometheus Books, NY, 2007, page 171.
LINKS
Joseph S. Madachy, A Fibonacci constant, Recreational Mathematics, Fibonacci Quarterly 6:6 (1968), p. 385.
MATHEMATICA
First@ RealDigits@ N[ Fold[ Last@#2 + First@#2/#1 &, 1, Partition[ Reverse@ Fibonacci@ Range@48, 2]], 111]
CROSSREFS
KEYWORD
cons,nonn
AUTHOR
Robert G. Wilson v, Jul 01 2007
STATUS
approved