OFFSET
1,2
COMMENTS
REFERENCES
Fenton Stancliff, A curious property of a_11, Scripta Math., Vol. 19 (1953), p. 126.
LINKS
B. M. M. de Weger, A Curious Property of the Eleventh Fibonacci Number, The Rocky Mountain Journal of Mathematics, Vol. 25, No. 3 (1995), pp. 977-994.
EXAMPLE
89 is in the sequence since 89 = 10^2 - 10 - 1 or equivalently 1/89 = 1/10^2 + 1/10^3 + 2/10^4 + 3/10^5 + 5/10^6 + ... This is why the first digits of the decimal expansion of 1/89 = 0.011235... are the first terms of the Fibonacci sequence.
MATHEMATICA
Select[Fibonacci[Range[2, 20]], IntegerQ[Sqrt[4# + 5]] &]
CROSSREFS
KEYWORD
nonn,bref,fini,full
AUTHOR
Amiram Eldar, May 09 2019
STATUS
approved