A182601 Position (index) of the smallest Fibonacci number in a sequence of at least n consecutive composite Fibonacci numbers.

6, 8, 8, 18, 18, 30, 30, 30, 30, 30, 30, 30, 30, 48, 48, 48, 48, 48, 48, 48, 48, 48, 48, 48, 48, 48, 48, 48, 48, 48, 48, 48, 48, 48, 48, 84, 84, 84, 84, 84, 84, 84, 84, 84, 84, 84, 84, 138, 138, 138

Offset

1,1

Comments

All entries are of the form A001605(.)+1.

The records in A182600 are 1, 3, 5, 13, 35, 47, 221,... with first differences 2, 2, 8, 22, 12, 174,... and these are the frequencies (repetitions) of the entries in this sequence here.

Links

Robert Israel, Table of n, a(n) for n = 1..10000

Formula

min{ i: A000045(j) in A002808 for all j=i..i+n-1}.

Maple

# using b-file for A001605 as a list B001605
dB:= B001605[2..-1]-B001605[1..-2]:
f:= proc(n) local i;
 for i from 1 do if dB[i] >= n+1 then return B001605[i]+1 fi od
end proc:
map(f, [$1..100]); # Robert Israel, Dec 24 2024

Crossrefs

Cf. A005478, A090206.

Sequence in context: A315948 A315949 A135581 * A261506 A021596 A166528

Adjacent sequences: A182598 A182599 A182600 * A182602 A182603 A182604

Keyword

nonn

Author

R. J. Mathar, Nov 22 2010

Status

approved