A272333 Values of Fibonacci(n+1) that divides n!.

1, 2, 3, 8, 21, 144, 46368

Offset

1,2

Comments

This sequence is finite.

See comment section of A048278 for motivation. Also see the formula section of this sequence for relation between this sequence and divisors of 24.

Sequence focuses on the positive values of n, so 1 only appears once as a term.

Links

Table of n, a(n) for n=1..7.

Formula

a(n) = A000045(A048278(n)+1) = A000045(A018253(n+1)), for n > 0.

Example

8 is a term because 8 = Fibonacci(6) and (6-1)! is divisible by 8.

Prog

(PARI) lista(nn) = for(n=1, nn, if(n! % fibonacci(n+1) == 0, print1(fibonacci(n+1), ", ")));

Crossrefs

Cf. A000045, A048278, A018253.

Sequence in context: A245464 A243562 A238329 * A098119 A049959 A006545

Adjacent sequences: A272330 A272331 A272332 * A272334 A272335 A272336

Keyword

nonn,fini,full

Author

Altug Alkan, Apr 26 2016

Status

approved