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 A369221 #4 Jan 20 2024 09:33:50
%S A369221 1,0,0,0,1,0,1,0,1,5,7,9,12,16,21,28,165,241,354,518,760,1113,1632,
%T A369221 2391,3505,14823,22741,34888,53524,82114,125976,193267,296502,454881,
%U A369221 697859,1070626,1642509,2519868,3865875,5930862,9098878,13959114,21415483,32854729,50404337,77328204
%N A369221 Number of compositions (ordered partitions) of n into prime power parts (not including 1) not greater than sqrt(n).
%t A369221 Table[SeriesCoefficient[1/(1 - Sum[Boole[PrimePowerQ[k]] x^k, {k, 1, Floor[Sqrt[n]]}]), {x, 0, n}], {n, 0, 45}]
%Y A369221 Cf. A280195, A364526.
%K A369221 nonn
%O A369221 0,10
%A A369221 _Ilya Gutkovskiy_, Jan 16 2024