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.

A294103 Sum of the differences of the larger and smaller parts in the partitions of 2n into two squarefree parts or two nonsquarefree parts.

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%I A294103 #11 Feb 10 2018 21:58:12
%S A294103 0,2,4,12,4,24,20,54,40,72,70,114,62,116,62,182,126,292,134,330,182,
%T A294103 412,190,460,202,468,380,518,490,632,462,692,458,890,562,1184,638,
%U A294103 1088,590,1206,590,1430,678,1556,986,1578,952,1772,1032,1876,1214,1986,1326
%N A294103 Sum of the differences of the larger and smaller parts in the partitions of 2n into two squarefree parts or two nonsquarefree parts.
%H A294103 <a href="/index/Par#part">Index entries for sequences related to partitions</a>
%F A294103 a(n) = 2 * Sum_{i=1..n} (n - i) * [A008966(i) = A008966(2n-i)], where [] is the Iverson bracket.
%t A294103 Table[2 Sum[(n - k) KroneckerDelta[MoebiusMu[k]^2, MoebiusMu[2 n - k]^2], {k, n}], {n, 80}]
%Y A294103 Cf. A008966, A294097.
%K A294103 nonn,easy
%O A294103 1,2
%A A294103 _Wesley Ivan Hurt_, Oct 22 2017