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.

A294248 Number of partitions of 2n into two distinct squarefree parts.

This page as a plain text file.
%I A294248 #12 Jun 20 2019 04:24:37
%S A294248 0,1,1,3,1,3,2,5,4,5,4,7,4,6,4,8,6,11,6,11,7,12,7,13,8,13,10,13,10,14,
%T A294248 10,15,10,17,12,21,13,19,12,20,12,21,13,23,17,22,16,24,17,25,17,26,18,
%U A294248 31,18,29,19,30,19,31,19,32,23,30,22,31,22,32,22,34
%N A294248 Number of partitions of 2n into two distinct squarefree parts.
%H A294248 <a href="/index/Par#part">Index entries for sequences related to partitions</a>
%F A294248 a(n) = Sum_{i=1..n-1} mu(i)^2 * mu(2n-i)^2, where mu is the Möbius function (A008683).
%t A294248 Table[Sum[MoebiusMu[i]^2*MoebiusMu[2 n - i]^2, {i, n - 1}], {n, 80}]
%o A294248 (PARI) A294248(n)=sum(i=1,n-1,moebius(i)^2*moebius(2*n-i)^2); \\ _R. J. Cano_, Oct 25 2017
%Y A294248 Cf. A008683, A280226.
%K A294248 nonn,easy
%O A294248 1,4
%A A294248 _Wesley Ivan Hurt_, Oct 25 2017