|
%I #26 Sep 08 2022 08:45:15
%S 1,1,1,8,81,3125,262144,62748517,37822859361,60716992766464,
%T 253295162119140625,2775173073766990340489,79496847203390844133441536,
%U 5965226978431093156430190442313,1171598758708107367475386427203165009,602486784535040403801858901000000000000000
%N a(n) = Fibonacci(n)^n.
%H Vincenzo Librandi, <a href="/A100399/b100399.txt">Table of n, a(n) for n = 0..50</a>
%F a(n) = A103323(n,n).
%F From _Amiram Eldar_, Nov 17 2020: (Start)
%F Sum_{n>=1} 1/a(n) = A201615.
%F Sum_{n>=1} (-1)^(n+1)/a(n) = A201616. (End)
%p a:= n-> (<<1|1>, <1|0>>^n)[1, 2]^n:
%p seq(a(n), n=0..15); # _Alois P. Heinz_, Apr 13 2018
%t Array[Fibonacci[ # ]^#&,20] (* _Vladimir Joseph Stephan Orlovsky_, Apr 03 2010 *)
%o (PARI) a(n) = fibonacci(n)^n;
%o (Magma) [Fibonacci(n)^n: n in [0..20]]; // _Vincenzo Librandi_, Apr 24 2011
%Y Main diagonal of A103323.
%Y Cf. A000045, A067961, A201615, A201616.
%K nonn
%O 0,4
%A _Jorge Coveiro_, Dec 30 2004
| 