A280690 a(n) = A000045(n) / A105800(n); the n-th Fibonacci number divided by its largest Fibonacci proper divisor.

1, 1, 2, 3, 5, 4, 13, 7, 17, 11, 89, 18, 233, 29, 122, 47, 1597, 76, 4181, 123, 842, 199, 28657, 322, 15005, 521, 5777, 843, 514229, 1364, 1346269, 2207, 39602, 3571, 709805, 5778, 24157817, 9349, 271442, 15127, 165580141, 24476, 433494437, 39603, 1860497, 64079, 2971215073, 103682, 598364773, 167761, 12752042, 271443

Offset

1,3

Comments

A000045 is a divisibility sequence.

Links

Antti Karttunen, Table of n, a(n) for n = 1..377

Wikipedia, Divisibility sequence

Formula

a(n) = A000045(n) / A105800(n) = A000045(n) / A000045(A032742(n)).

a(n) = A280687(A000045(n)).

Other identities. For all n >= 1:

a(A032742(n)) = A280689(n).

Prog

(Scheme, two alternatives)
(define (A280690 n) (/ (A000045 n) (A105800 n)))
(define (A280690 n) (A280687 (A000045 n)))

Crossrefs

Cf. A000045, A032742, A105800, A280687, A280689.

Sequence in context: A309373 A131401 A061446 * A240000 A193770 A107476

Adjacent sequences: A280687 A280688 A280689 * A280691 A280692 A280693

Keyword

nonn

Author

Antti Karttunen, Jan 11 2017

Status

approved