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A294244 Sum of the smaller parts of the partitions of 2n into two parts with larger part nonsquarefree. 1

%I

%S 0,0,2,4,3,7,13,19,17,14,22,30,27,38,52,66,64,78,74,88,82,96,113,131,

%T 126,121,143,138,132,154,178,203,197,223,251,279,271,300,332,364,357,

%U 391,427,463,455,446,484,522,512,502,492,532,520,560,546,586,570

%N Sum of the smaller parts of the partitions of 2n into two parts with larger part nonsquarefree.

%H <a href="/index/Par#part">Index entries for sequences related to partitions</a>

%F a(n) = Sum_{i=1..n} i * (1 - mu(2n-i)^2).

%t Table[Sum[k (1 - MoebiusMu[2 n - k]^2), {k, n}], {n, 80}]

%o (PARI) a(n) = sum(i=1, n, i*(1 - moebius(2*n-i)^2)); \\ _Michel Marcus_, Feb 11 2018

%Y Cf. A008966, A294243.

%K nonn,easy

%O 1,3

%A _Wesley Ivan Hurt_, Oct 25 2017

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Last modified March 26 12:43 EDT 2019. Contains 321497 sequences. (Running on oeis4.)