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.

A294263 Sum of the larger parts of the partitions of n into two parts with smaller part squarefree > 1.

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%I A294263 #15 Jun 22 2019 10:53:43
%S A294263 0,0,0,2,3,7,9,11,13,20,23,32,36,47,52,57,62,67,72,87,93,110,117,124,
%T A294263 131,151,159,181,190,214,224,234,244,271,282,293,304,334,346,358,370,
%U A294263 403,416,451,465,502,517,532,547,562,577,618,634,650,666,682,698
%N A294263 Sum of the larger parts of the partitions of n into two parts with smaller part squarefree > 1.
%H A294263 <a href="/index/Par#part">Index entries for sequences related to partitions</a>
%F A294263 a(n) = Sum_{i=2..floor(n/2)} (n - i) * mu(i)^2, where mu is the Möbius function (A008683).
%t A294263 Table[Sum[(n - i) MoebiusMu[i]^2, {i, 2, Floor[n/2]}], {n, 80}]
%Y A294263 Cf. A008683, A008966, A294146.
%K A294263 nonn,easy
%O A294263 1,4
%A A294263 _Wesley Ivan Hurt_, Oct 26 2017