

A218076


Indices of positive Fibonacci numbers whose binary expansions have record numbers of consecutive zeros.


1



3, 6, 12, 19, 38, 42, 68, 243, 384, 515, 740, 1709, 5151, 11049, 45641, 94729, 185610, 644593, 726681, 2296396, 3098358, 6178778, 15743325, 22436908, 80141430, 84300971, 127495932, 177416979, 198423144, 275354607
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OFFSET

1,1


COMMENTS

Positions of records in the auxiliary sequence 0, 0, 0, 1, 0, 1, 3, 1, 1, 3, 1, 2, 4, 2, 2, 3, 1, 3, 4, 5, 2,... = A087117(Fibonacci(n)).  R. J. Mathar, Nov 05 2012


LINKS

Table of n, a(n) for n=1..30.
Peter Polm, A218076 three more with C on 64 bits Linux (BigInteger Algorithms blog).
Eric Weisstein's World of Mathematics, Fibonacci Number


EXAMPLE

The first four records occur at 3, 6, 12, and 19:
F(3) = 10_2 (one zero),
F(6) = 1000_2 (three zeros),
F(12) = 10010000_2 (four zeros), and
F(19) = 1000001010101_2 (five zeros).
For the n=6178778, F(6178778) has 43 consecutive zeros.


CROSSREFS

Cf. A059016, A087117.
Sequence in context: A209489 A181962 A226220 * A160732 A246147 A066140
Adjacent sequences: A218073 A218074 A218075 * A218077 A218078 A218079


KEYWORD

base,nonn


AUTHOR

Peter Polm, Oct 20 2012


EXTENSIONS

More terms from Peter Polm's web site, Joerg Arndt, Aug 18 2014


STATUS

approved



