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 A368502 #6 Dec 27 2023 22:37:22 %S A368502 1,1,1,1,10,26,76,232,764,12644,61136,312676,1680592,9467680,55704104, %T A368502 341185496,6631556521,49294051497,380306658250,3039453750685, %U A368502 25120541332271,214363100120051,1885987611214092,17085579637664715,159185637725413675,3282701194678476257 %N A368502 Number of partitions of an n-set into blocks of size <= sqrt(n). %F A368502 a(n) = n! * [x^n] exp( Sum_{1 <= j <= sqrt(n)} x^j / j! ). %t A368502 Table[n! SeriesCoefficient[Exp[Sum[x^j/j!, {j, 1, Floor[Sqrt[n]]}]], {x, 0, n}], {n, 0, 25}] %Y A368502 Cf. A000110, A097356, A368503. %K A368502 nonn %O A368502 0,5 %A A368502 _Ilya Gutkovskiy_, Dec 27 2023