A120256 a(n) = number of terms in the n-th row of A120255(n) = number of terms in A001177 equal to n.

1, 0, 1, 1, 1, 2, 1, 2, 2, 2, 1, 10, 1, 2, 5, 4, 1, 10, 3, 11, 5, 2, 1, 55, 4, 2, 12, 11, 1, 52, 3, 8, 5, 2, 5, 133, 7, 4, 5, 46, 3, 52, 1, 27, 22, 6, 1, 260, 6, 40, 5, 11, 3, 100, 13, 78, 27, 6, 3, 874, 3, 4, 22, 48, 5, 52, 7, 27, 29, 116, 3, 1319, 3, 8, 36, 23, 13, 116, 3, 444, 112, 4, 1, 1834

Offset: 1

Author

Leroy Quet, Jun 13 2006

Keywords

• nonn

Examples

			Fibonacci(9) = 34; and the divisors of 34 are 1, 2, 17 and 34. Of these divisors, 1 and 2 divide earlier Fibonacci numbers, 17 and 34 do not. So a(9) = 2.
		

Links

• T. D. Noe, Table of n, a(n) for n=1..300

Crossrefs

Cf. A120255, A001177.

Programs

Mathematica

f[t_] := Append[t, Select[Divisors[Fibonacci[Length[t] + 1]], FreeQ[Flatten[t], # ] &]]; Length /@ Nest[f, {}, 85] (* Ray Chandler, Jun 14 2006 *)

Extensions

Extended by Ray Chandler, Jun 14 2006