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

Author

Antti Karttunen, Jan 11 2017

Keywords

• nonn

Comments

A000045 is a divisibility sequence.

Links

• Antti Karttunen, Table of n, a(n) for n = 1..377
• Wikipedia, Divisibility sequence

Crossrefs

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

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).