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 A369219 #4 Jan 20 2024 09:33:24 %S A369219 1,0,0,0,1,0,1,0,1,2,2,2,3,2,3,3,10,8,12,10,14,12,16,14,19,44,50,53, %T A369219 60,63,71,74,83,87,96,101,111,116,127,133,145,151,164,171,185,193,207, %U A369219 216,232,612,656,699,748,795,849,901,960,1017,1081,1144,1214,1282,1358,1433,3620,3845 %N A369219 Number of partitions of n into prime power parts (not including 1) not greater than sqrt(n). %t A369219 Table[SeriesCoefficient[Product[1/(1 - Boole[PrimePowerQ[k]] x^k), {k, 1, Floor[Sqrt[n]]}], {x, 0, n}], {n, 0, 65}] %Y A369219 Cf. A023894, A097356, A369218. %K A369219 nonn %O A369219 0,10 %A A369219 _Ilya Gutkovskiy_, Jan 16 2024