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 A047164 #9 Apr 11 2021 22:15:23 %S A047164 0,0,0,0,0,3,4,16,20,50,60,135,161,392,476,1232,1512,3864,4740,11850, %T A047164 14520,36300,44572,112519,138567,351351,433433,1098188,1355900, %U A047164 3433703,4243148,10758608,13308416,33794504,41843256,106344792,131772372,335061789,415445184,1056924666 %N A047164 Number of nonempty subsets of {1,2,...,n} in which exactly 3/4 of the elements are <= n/2. %H A047164 Andrew Howroyd, <a href="/A047164/b047164.txt">Table of n, a(n) for n = 1..500</a> %F A047164 a(n) = Sum_{k>=1} binomial(floor(n/2), 3*k)*binomial(ceiling(n/2), k). - _Andrew Howroyd_, Apr 11 2021 %o A047164 (PARI) a(n) = {my(m=n\2); sum(k=1, m\3, binomial(m, 3*k)*binomial(n-m, k))} \\ _Andrew Howroyd_, Apr 11 2021 %Y A047164 Cf. A047161, A047163. %K A047164 nonn %O A047164 1,6 %A A047164 _Clark Kimberling_ %E A047164 Terms a(35) and beyond from _Andrew Howroyd_, Apr 11 2021