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A182602

Smallest Fibonacci number in a sequence of at least n consecutive composite Fibonacci numbers.

8, 21, 21, 2584, 2584, 832040, 832040, 832040, 832040, 832040, 832040, 832040, 832040, 4807526976, 4807526976, 4807526976, 4807526976, 4807526976, 4807526976, 4807526976, 4807526976, 4807526976, 4807526976, 4807526976

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OFFSET

1,1

LINKS

Table of n, a(n) for n=1..24.

FORMULA

a(n) = A000045(A182601).

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

EXAMPLE

a(2) = a(3) = 21 because (21, 34, 55) is a run of three consecutive Fibonacci composites, so 21 is in the sequence (21, 34) of at least 2 and in the sequence (21, 34, 55) of at least 3 consecutive composites in A000045.

MATHEMATICA

Fibonacci[#]&/@(Flatten[Table[SequencePosition[Table[If[CompositeQ[Fibonacci[n]], 1, 0], {n, 100}], PadRight[ {}, k, 1], 1], {k, 100}], 1][[;; , 1]]) (* Harvey P. Dale, Aug 24 2024 *)

CROSSREFS

Cf. A005478, A090206.

Sequence in context: A108235 A130021 A003864 * A123255 A053750 A321439

Adjacent sequences: A182599 A182600 A182601 * A182603 A182604 A182605

KEYWORD

nonn

AUTHOR

R. J. Mathar, Nov 22 2010

STATUS

approved

URL: https://oeis.org/A182602

⇱ A182602 - OEIS