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 A368503 #5 Dec 27 2023 22:37:27 %S A368503 1,0,1,1,10,26,166,652,3795,18755,112124,648649,4163743,27216840, %T A368503 190168577,1376119903,10468226150,82744297014,681863474058, %U A368503 5830425411936,51720008131148,474821737584174,4506628734688128,44150936144057758,445956917001833090,4638564968368158592 %N A368503 Number of partitions of an n-set into blocks of size <= n/2. %F A368503 a(n) = n! * [x^n] exp( Sum_{1 <= j <= n/2} x^j / j! ). %t A368503 Table[n! SeriesCoefficient[Exp[Sum[x^j/j!, {j, 1, Floor[n/2]}]], {x, 0, n}], {n, 0, 25}] %Y A368503 Cf. A000110, A110618, A368502. %K A368503 nonn %O A368503 0,5 %A A368503 _Ilya Gutkovskiy_, Dec 27 2023