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 A325228 #4 Apr 13 2019 08:11:36 %S A325228 0,0,0,0,1,3,6,9,13,16,20,24,28,32,38,42,48,54,60,66,74,80,88,96,104, %T A325228 112,122,130,140,150,160,170,182,192,204,216,228,240,254,266,280,294, %U A325228 308,322,338,352,368,384,400,416,434,450,468,486,504,522,542,560 %N A325228 Number of integer partitions of n such that the lesser of the maximum part and the number of parts is 3. %e A325228 The a(5) = 1 through a(10) = 16 partitions: %e A325228 (311) (321) (322) (332) (333) (433) %e A325228 (411) (331) (422) (432) (442) %e A325228 (3111) (421) (431) (441) (532) %e A325228 (511) (521) (522) (541) %e A325228 (3211) (611) (531) (622) %e A325228 (31111) (3221) (621) (631) %e A325228 (3311) (711) (721) %e A325228 (32111) (3222) (811) %e A325228 (311111) (3321) (3322) %e A325228 (32211) (3331) %e A325228 (33111) (32221) %e A325228 (321111) (33211) %e A325228 (3111111) (322111) %e A325228 (331111) %e A325228 (3211111) %e A325228 (31111111) %t A325228 Table[Length[Select[IntegerPartitions[n],Min[Length[#],Max[#]]==3&]],{n,30}] %Y A325228 Column k = 3 of A325227. %Y A325228 Cf. A051924, A096771, A115720, A265283, A325224, A325225, A325229, A325231, A325232. %K A325228 nonn %O A325228 1,6 %A A325228 _Gus Wiseman_, Apr 12 2019