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 A294242 #16 Sep 17 2020 17:01:20 %S A294242 0,0,1,1,2,2,3,3,3,3,4,4,5,6,7,7,7,7,7,7,7,7,9,9,10,10,11,11,11,11,12, %T A294242 13,13,13,14,14,14,15,16,16,17,17,18,18,18,18,19,19,19,20,20,20,20,20, %U A294242 20,20,20,20,22,22,23,23,25,25,25,25,26,27,27,27,28 %N A294242 Number of partitions of 2n into two parts with the larger part nonsquarefree. %H A294242 <a href="/index/Par#part">Index entries for sequences related to partitions</a> %F A294242 a(n) = Sum_{i=1..n} (1 - mu(2*n-i)^2), where mu is the Möbius function (A008683). %t A294242 Table[Sum[(1 - MoebiusMu[2 n - k]^2), {k, n}], {n, 80}] %o A294242 (PARI) a(n) = sum(i=1, n, 1 - moebius(2*n-i)^2); \\ _Michel Marcus_, Feb 11 2018 %Y A294242 Cf. A008683, A008966, A057627. %K A294242 nonn,easy %O A294242 1,5 %A A294242 _Wesley Ivan Hurt_, Oct 25 2017