cp's OEIS Frontend

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.

A294242 Number of partitions of 2n into two parts with the larger part nonsquarefree.

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%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