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A220168 Numbers k that divide Fibonacci(k+2). 2
1, 4, 34, 46, 88, 94, 106, 166, 214, 226, 274, 334, 346, 394, 454, 466, 514, 526, 586, 634, 646, 694, 706, 754, 766, 886, 934, 1006, 1114, 1126, 1174, 1186, 1234, 1294, 1306, 1354, 1366, 1486, 1546, 1594, 1654, 1714, 1726, 1774, 1894, 1906, 1954, 1966, 2026 (list; graph; refs; listen; history; text; internal format)
OFFSET
1,2
LINKS
MATHEMATICA
Select[Range[2000], Mod[Fibonacci[#+2], #] == 0 &] (* T. D. Noe, Feb 05 2014 *)
PROG
(Python)
prpr = prev = 1
for i in range(3, 3000):
prpr, prev = prev, prpr+prev
if prev % (i-2) == 0: print i-2,
(PARI) is(n)=((Mod([1, 1; 1, 0], n))^(n+2))[1, 2]==0 \\ Charles R Greathouse IV, Feb 03 2014
CROSSREFS
Cf. A000045.
Cf. A023172 (numbers k that divide Fibonacci(k)).
Cf. A069104 (numbers k that divide Fibonacci(k+1)).
Cf. A123976 (numbers k that divide Fibonacci(k-1)).
Cf. A159051 (numbers k that divide Fibonacci(k-2)).
Sequence in context: A020197 A102959 A057959 * A227397 A365537 A281827
KEYWORD
nonn
AUTHOR
Alex Ratushnyak, May 03 2013
STATUS
approved

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Last modified September 11 11:37 EDT 2024. Contains 375827 sequences. (Running on oeis4.)