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.
%I A344114 #20 Aug 25 2022 08:30:14
%S A344114 1,14,506,65512,33554312,68719476016,562949953416272,
%T A344114 18446744073709511296,2417851639229258349049472,
%U A344114 1267650600228229401496699576576,2658455991569831745807614120520772352,22300745198530623141535718272648361026978816,748288838313422294120286634350736906063831234982912
%N A344114 a(n) = 2^(n^2) - n!.
%C A344114 a(n) is the number of relations on a set with n elements that are not one-to-one functions.
%H A344114 Michael De Vlieger, <a href="/A344114/b344114.txt">Table of n, a(n) for n = 1..57</a>
%H A344114 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 A344114 a(1) = 2^(1^2) - 1! = 1;
%e A344114 a(2) = 2^(2^2) - 2! = 14;
%e A344114 a(3) = 2^(3^2) - 3! = 506.
%t A344114 Table[2^(n^2) - n!, {n, 16}] // Flatten
%Y A344114 Cf. A000312, A002416, A036679, A101030, A199656, A344110, A344112, A344113.
%K A344114 nonn,easy
%O A344114 1,2
%A A344114 _Mohammad K. Azarian_, Jun 04 2021