A280699 Greatest Lucas number that is a divisor of the n-th Fibonacci number, a(1) = a(2) = 1.

1, 1, 2, 3, 1, 4, 1, 7, 2, 11, 1, 18, 1, 29, 2, 47, 1, 76, 1, 123, 2, 199, 1, 322, 1, 521, 2, 843, 1, 1364, 1, 2207, 2, 3571, 1, 5778, 1, 9349, 2, 15127, 1, 24476, 1, 39603, 2, 64079, 1, 103682, 1, 167761, 2, 271443, 1, 439204, 1, 710647, 2, 1149851, 1, 1860498, 1, 3010349, 2, 4870847, 1, 7881196, 1, 12752043, 2, 20633239, 1, 33385282, 1, 54018521, 2, 87403803

Offset: 1

Author

Antti Karttunen, Jan 11 2017

Keywords

• nonn

Comments

The even bisection is almost certainly A000204. Consider for example the well-known formula L(n)*F(n) = F(2n) = A001906(n).

Links

• Antti Karttunen, Table of n, a(n) for n = 1..987

Crossrefs

Cf. A000045, A000032, A000204, A001906, A105800, A280694, A280698.

Programs

Scheme

(define (A280699 n) (A280694 (A000045 n)))

Formula

a(n) = A280694(A000045(n)).