A100399 a(n) = Fibonacci(n)^n.
1, 1, 1, 8, 81, 3125, 262144, 62748517, 37822859361, 60716992766464, 253295162119140625, 2775173073766990340489, 79496847203390844133441536, 5965226978431093156430190442313, 1171598758708107367475386427203165009, 602486784535040403801858901000000000000000
Offset: 0
Keywords
Links
- Vincenzo Librandi, Table of n, a(n) for n = 0..50
Programs
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Magma
[Fibonacci(n)^n: n in [0..20]]; // Vincenzo Librandi, Apr 24 2011
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Maple
a:= n-> (<<1|1>, <1|0>>^n)[1, 2]^n: seq(a(n), n=0..15); # Alois P. Heinz, Apr 13 2018
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Mathematica
Array[Fibonacci[ # ]^#&,20] (* Vladimir Joseph Stephan Orlovsky, Apr 03 2010 *)
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PARI
a(n) = fibonacci(n)^n;
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)