A100992 Indices k of Fibonacci numbers F(k) (A000045) that are divisible by k+1.

10, 18, 28, 30, 40, 58, 60, 70, 78, 88, 100, 108, 130, 138, 148, 150, 178, 180, 190, 198, 210, 228, 238, 240, 250, 268, 270, 280, 310, 330, 348, 358, 378, 388, 400, 408, 418, 420, 430, 438, 441, 448, 460, 478, 490, 498, 508, 520, 540, 568, 570, 598, 600, 618

Offset: 1

Author

Ron Knott, Nov 25 2004

Keywords

• nonn

Comments

When k+1 is prime, it is in A045468; when k+1 is composite (such as 442), it is in A069106. - T. D. Noe, Dec 13 2004

Examples

			18 is a term because F(18) = 2584 = 2*2*2*17*19 is divisible by 19, one more than its index number 18.
		

Links

• Amiram Eldar, Table of n, a(n) for n = 1..10000
• Ron Knott, Mathematical Magic of the Fibonacci Numbers.

Crossrefs

Cf. A000045, A100993, A023162, A023173, A045468, A069106.

Programs

Mathematica

Select[ Range[ 620], Mod[ Fibonacci[ # ], # + 1] == 0 &] (* Robert G. Wilson v, Nov 26 2004 *)

Extensions

More terms from Robert G. Wilson v, Nov 26 2004