A280687 a(n) = n / A280686(n); n divided by its largest Fibonacci proper divisor, a(1) = 1.

1, 2, 3, 2, 5, 2, 7, 4, 3, 2, 11, 4, 13, 7, 3, 2, 17, 6, 19, 4, 7, 11, 23, 3, 5, 2, 9, 14, 29, 6, 31, 4, 11, 17, 7, 12, 37, 19, 3, 5, 41, 2, 43, 22, 9, 23, 47, 6, 49, 10, 17, 4, 53, 18, 11, 7, 19, 29, 59, 12, 61, 31, 3, 8, 5, 22, 67, 2, 23, 14, 71, 9, 73, 37, 15, 38, 77, 6, 79, 10, 27, 41, 83, 4, 17, 43, 29, 11, 89, 18, 7, 46, 31, 47, 19, 12, 97, 49, 33, 20

Offset: 1

Author

Antti Karttunen, Jan 11 2017

Keywords

• nonn

Comments

For n > 1, a(n) = n divided by the greatest Fibonacci number that divides n and is less than n.

Links

• Antti Karttunen, Table of n, a(n) for n = 1..10946

Crossrefs

Cf. A000045, A280686, A280690, A280697.

Programs

Scheme

(define (A280687 n) (/ n (A280686 n)))

Formula

a(n) = n / A280686(n).

a(A000045(n)) = A280690(n).