cp's OEIS Frontend

This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.

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

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%I A100399 #28 Oct 22 2024 20:48:59
%S A100399 1,1,1,8,81,3125,262144,62748517,37822859361,60716992766464,
%T A100399 253295162119140625,2775173073766990340489,79496847203390844133441536,
%U A100399 5965226978431093156430190442313,1171598758708107367475386427203165009,602486784535040403801858901000000000000000
%N A100399 a(n) = Fibonacci(n)^n.
%H A100399 Vincenzo Librandi, <a href="/A100399/b100399.txt">Table of n, a(n) for n = 0..50</a>
%F A100399 a(n) = A103323(n,n).
%F A100399 From _Amiram Eldar_, Nov 17 2020: (Start)
%F A100399 Sum_{n>=1} 1/a(n) = A201615.
%F A100399 Sum_{n>=1} (-1)^(n+1)/a(n) = A201616. (End)
%p A100399 a:= n-> (<<1|1>, <1|0>>^n)[1, 2]^n:
%p A100399 seq(a(n), n=0..15);  # _Alois P. Heinz_, Apr 13 2018
%t A100399 Array[Fibonacci[ # ]^#&,20] (* _Vladimir Joseph Stephan Orlovsky_, Apr 03 2010 *)
%o A100399 (PARI) a(n) = fibonacci(n)^n;
%o A100399 (Magma) [Fibonacci(n)^n: n in [0..20]]; // _Vincenzo Librandi_, Apr 24 2011
%Y A100399 Main diagonal of A103323.
%Y A100399 Cf. A000045, A067961, A152915, A201615, A201616.
%K A100399 nonn
%O A100399 0,4
%A A100399 _Jorge Coveiro_, Dec 30 2004