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 A325347 #17 Feb 22 2023 21:41:58 %S A325347 1,2,2,5,5,10,11,21,23,37,45,69,83,118,145,203,250,334,415,546,673, %T A325347 868,1074,1369,1681,2113,2590,3230,3942,4867,5920,7265,8791,10713, %U A325347 12923,15664,18818,22685,27156,32595,38879,46452,55231,65741,77900,92383,109153 %N A325347 Number of partitions of n having an integer median. %C A325347 This sequence and A307683 partition the partition numbers, A000041. %H A325347 Fausto A. C. Cariboni, <a href="/A325347/b325347.txt">Table of n, a(n) for n = 1..180</a> %e A325347 a(5) counts these 5 partitions: [5], [3,1,1], [2,2,1], [2,1,1,1], [1,1,1,1,1]. %t A325347 Table[Count[IntegerPartitions[n], q_ /; IntegerQ[Median[q]]], {n, 10}] %Y A325347 Cf. A000041, A307683. %K A325347 nonn %O A325347 1,2 %A A325347 _Clark Kimberling_, Apr 23 2019