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.

A344113 a(n) = 2^(n^2) - n^n.

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%I A344113 #19 Aug 24 2022 14:42:37
%S A344113 1,12,485,65280,33551307,68719430080,562949952597769,
%T A344113 18446744073692774400,2417851639229257961991863,
%U A344113 1267650600228229401486703205376,2658455991569831745807613835249018541,22300745198530623141535718272639445405532160
%N A344113 a(n) = 2^(n^2) - n^n.
%C A344113 a(n) is the number of relations on a set with n elements that are not functions.
%H A344113 Michael De Vlieger, <a href="/A344113/b344113.txt">Table of n, a(n) for n = 1..57</a>
%H A344113 Mohammad K. Azarian, <a href="https://doi.org/10.12988/imf.2022.912321">Remarks and Conjectures Regarding Combinatorics of Discrete Partial Functions</a>, Int'l Math. Forum (2022) Vol. 17, No. 3, 129-141.
%e A344113 a(1) = 2^(1^2) - 1^1 = 1.
%e A344113 a(2) = 2^(2^2) - 2^2 = 12.
%e A344113 a(3) = 2^(3^2) - 3^3 = 485.
%t A344113 Table[2^(n^2) - n^n, {n, 12}] // Flatten
%Y A344113 Cf. A000312, A002416, A036679, A344110, A344112, A344114.
%K A344113 nonn,easy
%O A344113 1,2
%A A344113 _Mohammad K. Azarian_, May 14 2021