A100399 a(n) = Fibonacci(n)^n.

1, 1, 1, 8, 81, 3125, 262144, 62748517, 37822859361, 60716992766464, 253295162119140625, 2775173073766990340489, 79496847203390844133441536, 5965226978431093156430190442313, 1171598758708107367475386427203165009, 602486784535040403801858901000000000000000

Offset

0,4

Links

Vincenzo Librandi, Table of n, a(n) for n = 0..50

Formula

a(n) = A103323(n,n).

From Amiram Eldar, Nov 17 2020: (Start)

Sum_{n>=1} 1/a(n) = A201615.

Sum_{n>=1} (-1)^(n+1)/a(n) = A201616. (End)

Maple

a:= n-> (<<1|1>, <1|0>>^n)[1, 2]^n:
seq(a(n), n=0..15);  # Alois P. Heinz, Apr 13 2018

Mathematica

Array[Fibonacci[ # ]^#&, 20] (* Vladimir Joseph Stephan Orlovsky, Apr 03 2010 *)

Prog

(PARI) a(n) = fibonacci(n)^n;
(Magma) [Fibonacci(n)^n: n in [0..20]]; // Vincenzo Librandi, Apr 24 2011

Crossrefs

Main diagonal of A103323.

Cf. A000045, A067961, A201615, A201616.

Sequence in context: A305770 A145921 A304655 * A022504 A104126 A100879

Adjacent sequences: A100396 A100397 A100398 * A100400 A100401 A100402

Keyword

nonn

Author

Jorge Coveiro, Dec 30 2004

Status

approved