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 A048165 #24 Jan 11 2021 10:11:16 %S A048165 1,0,-1,-1,1,0,0,-1,1,0,1,-2,1,-1,2,-2,2,-3,3,-3,4,-4,5,-6,6,-6,8,-9, %T A048165 9,-11,12,-13,14,-16,19,-19,21,-25,26,-28,32,-36,38,-41,46,-50,55,-60, %U A048165 65,-70,77,-85,91,-99,108,-116,126,-138,149,-160,174,-188,202,-219,237,-255,274,-296 %N A048165 Expansion of Product_{k > 0} 1/(1 + x^prime(k)). %H A048165 Seiichi Manyama, <a href="/A048165/b048165.txt">Table of n, a(n) for n = 0..10000</a> %F A048165 a(n) = A184198(n) - A184199(n). - _Vaclav Kotesovec_, Jan 11 2021 %t A048165 nn=20; %t A048165 ser=Product[1/(1+x^p),{p,Select[Range[nn],PrimeQ]}]; %t A048165 Table[SeriesCoefficient[ser,{x,0,n}],{n,nn}] (* _Gus Wiseman_, Jun 06 2018 *) %Y A048165 Cf. A000005, A000040, A000586, A000607, A001221, A008683, A083399, A088705, A280954, A305614. %K A048165 sign %O A048165 0,12 %A A048165 _N. J. A. Sloane_