A168138 a(n) = Fibonacci(n+1)^tau(n).

1, 4, 9, 125, 64, 28561, 441, 1336336, 166375, 62742241, 20736, 160005726539569, 142129, 138458410000, 949005240561, 10387823949447757, 6677056, 5341718593932745951081, 45765225, 1720016697051086543327296, 98394841894789441

Offset

1,2

Links

G. C. Greubel, Table of n, a(n) for n = 1..100

Formula

a(n) = A000045(n+1)^A000005(n). - R. J. Mathar, Jan 30 2010

Maple

A168138 := proc(n) combinat[fibonacci](n+1)^numtheory[tau](n) ; end proc: seq(A168138(n), n=1..50) ; # R. J. Mathar, Jan 30 2010

Mathematica

Table[Fibonacci[n + 1]^DivisorSigma[0, n], {n, 0, 25}] (* G. C. Greubel, Jul 14 2016 *)

Prog

(Magma) [Fibonacci(n+1)^DivisorSigma(0, n): n in [1..25]]; // Vincenzo Librandi, Jul 14 2016
(PARI) a(n) = fibonacci(n+1)^numdiv(n); \\ Michel Marcus, Jul 14 2016

Crossrefs

Sequence in context: A065379 A063783 A378745 * A267898 A324981 A128524

Adjacent sequences: A168135 A168136 A168137 * A168139 A168140 A168141

Keyword

nonn

Author

Giovanni Teofilatto, Nov 19 2009

Extensions

All terms from a(4) on corrected by R. J. Mathar, Jan 30 2010

Status

approved