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 A127610 #9 Jan 29 2024 15:38:34 %S A127610 0,0,0,2,15,123,1118,11344,127831,1590245,21700716,322880256, %T A127610 5209007463,90661989607,1694616510154,33876697720832,721588072472639, %U A127610 16321494271570569,390811944752490542,9878354899591168000,262896868506265373394,7349159002086450661211 %N A127610 a(n) = floor(( (n+1)/2 )^n) - n!. %C A127610 Theorem (Cauchy): ((n+1)/2)^n > n! for n >= 2. %D A127610 D. S. Mitrinovic, Analytic Inequalities, Springer-Verlag, 1970; p. 192, 3.1.14. %H A127610 Paolo Xausa, <a href="/A127610/b127610.txt">Table of n, a(n) for n = 0..420</a> %t A127610 A127610[n_] := Floor[((n+1)/2)^n] - n!; %t A127610 Array[A127610, 25, 0] (* _Paolo Xausa_, Jan 29 2024 *) %Y A127610 Cf. A127426. %K A127610 nonn %O A127610 0,4 %A A127610 _N. J. A. Sloane_, Apr 03 2007