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.

A294245 Sum of the larger parts of the partitions of 2n into two parts with larger part nonsquarefree.

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%I A294245 #16 Sep 17 2020 17:02:59
%S A294245 0,0,4,4,17,17,29,29,37,46,66,66,103,130,158,158,174,174,192,192,212,
%T A294245 212,301,301,374,399,451,478,506,506,566,629,661,661,729,729,765,840,
%U A294245 916,916,1037,1037,1121,1121,1165,1210,1302,1302,1350,1498,1548,1548
%N A294245 Sum of the larger parts of the partitions of 2n into two parts with larger part nonsquarefree.
%H A294245 <a href="/index/Par#part">Index entries for sequences related to partitions</a>
%F A294245 a(n) = Sum_{i=1..n} (2*n-i) * (1 - mu(2*n-i)^2), where mu is the Möbius function (A008683).
%t A294245 Table[Sum[(2 n - k) (1 - MoebiusMu[2 n - k]^2), {k, n}], {n, 80}]
%o A294245 (PARI) a(n) = sum(i=1, n, (2*n-i)*(1 - moebius(2*n-i)^2)); \\ _Michel Marcus_, Feb 11 2018
%Y A294245 Cf. A008683, A008966, A294246.
%K A294245 nonn,easy
%O A294245 1,3
%A A294245 _Wesley Ivan Hurt_, Oct 25 2017