A272377 Number of positive divisors of A000032(n).

2, 1, 2, 3, 2, 2, 6, 2, 2, 6, 4, 2, 8, 2, 4, 12, 2, 2, 16, 2, 4, 12, 8, 4, 8, 8, 4, 12, 6, 4, 24, 2, 4, 12, 8, 16, 16, 2, 4, 24, 8, 2, 48, 4, 16, 96, 8, 2, 16, 4, 16, 24, 8, 2, 40, 24, 4, 24, 8, 8, 64, 2, 4, 96, 4, 32, 48, 4, 4, 48, 16, 2, 16, 4, 8, 192, 4, 16, 24, 2, 4, 48, 16, 4, 96, 16, 4, 48, 8, 4, 128

Offset

0,1

Links

Amiram Eldar, Table of n, a(n) for n = 0..1000 (using Blair Kelly's data)

Blair Kelly, Fibonacci and Lucas Factorizations

Formula

a(n) = A000005(A000032(n)).

Example

a(3) = 3 because A000032(3) = 4 and 4 is divisible by 1, 2 and 4.

Mathematica

DivisorSigma[0, LucasL /@ Range[0, 90]] (* Michael De Vlieger, Apr 28 2016 *)

Prog

(PARI) a(n) = numdiv(fibonacci(n-1)+fibonacci(n+1));

Crossrefs

Cf. A000005, A000032, A063375.

Sequence in context: A182413 A296664 A209126 * A103342 A275438 A275440

Adjacent sequences: A272374 A272375 A272376 * A272378 A272379 A272380

Keyword

nonn,easy

Author

Altug Alkan, Apr 28 2016

Status

approved