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A052006 Numbers k for which Fibonacci(k) is the first member of a 1,1 pair (A052005). 3
17, 30, 43, 53, 66, 79, 89, 102, 115, 125, 138, 151, 161, 174, 187, 200, 210, 223, 236, 246, 259, 272, 282, 295, 308, 321, 331, 344, 357, 367, 380, 393, 403, 416, 429, 442, 452, 465, 478, 488, 501, 514, 524, 537, 550, 560, 573, 586, 599, 609, 622, 635, 645 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,1

COMMENTS

Keep adding the terms of sequence A052005 up to the first member of the next 1,1 pair to yield the terms of this sequence. - Patrick De Geest

Those k for which F(k-1) < 2^(floor(log_2(F(k)))) and F(k+1) >= 2^(floor(log_2(F(k)))+1) and F(k+2) >= 2^(floor(log_2(F(k)))+2).

LINKS

Vincenzo Librandi, Table of n, a(n) for n = 0..1650

MATHEMATICA

With[{F = Fibonacci}, Reap[For[n=0, n<1000, n++, If[F[n-1] < 2^Floor[Log[2, F[n]]] && F[n+1] >= 2^(Floor[Log[2, F[n]]]+1) && F[n+2] >= 2^(Floor[Log[ 2, F[n]]]+2), Print[n]; Sow[n]]]][[2, 1]]] (* Jean-Fran├žois Alcover, Feb 27 2016 *)

CROSSREFS

The first differences are A051392.

Cf. A052005, A000045, A050815, A036284, A037093.

Sequence in context: A146872 A146792 A124884 * A002675 A321217 A087166

Adjacent sequences:  A052003 A052004 A052005 * A052007 A052008 A052009

KEYWORD

nonn,base,nice

AUTHOR

Antti Karttunen and Patrick De Geest, Nov 15 1999

STATUS

approved

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Last modified September 17 17:56 EDT 2019. Contains 327136 sequences. (Running on oeis4.)