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 A352166 #7 Mar 07 2022 12:58:28
%S A352166 1,1,0,1,1,1,1,1,2,2,2,2,3,3,3,3,4,5,4,5,6,6,6,7,8,9,9,10,12,12,13,14,
%T A352166 16,17,17,19,21,23,23,25,28,30,31,33,37,38,40,43,47,50,52,55,60,64,66,
%U A352166 70,76,81,83,89,96,101,105,110,119,125,130,138,147,155,161
%N A352166 Number of partitions of n into distinct odd prime powers (1 included).
%F A352166 G.f.: Product_{k>=0} (1 + x^A061345(k)).
%t A352166 nmax = 70; CoefficientList[Series[Product[(1 + Boole[(PrimePowerQ[k] || k == 1) && OddQ[k]] x^k), {k, 1, nmax}], {x, 0, nmax}], x]
%Y A352166 Cf. A000961, A024939, A054685, A061345, A106244, A134337, A280152, A352165.
%K A352166 nonn
%O A352166 0,9
%A A352166 _Ilya Gutkovskiy_, Mar 06 2022