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A294236 Sum of the smaller parts of the partitions of n into two parts with larger part nonsquarefree. 1

%I

%S 0,0,0,0,1,2,3,4,1,3,5,7,10,13,16,19,14,17,11,14,18,22,26,30,22,27,32,

%T 38,45,52,59,66,57,64,71,78,67,74,81,88,75,82,89,96,104,113,122,131,

%U 116,126,111,121,132,143,127,138,121,132,143,154,166,178,190

%N Sum of the smaller parts of the partitions of n 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..floor(n/2)} i * (1 - mu(n-i)^2), where mu is the Möbius function (A008683).

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

%Y Cf. A008683, A008966, A294237.

%K nonn,easy

%O 1,6

%A _Wesley Ivan Hurt_, Oct 25 2017

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Last modified August 4 21:32 EDT 2021. Contains 346455 sequences. (Running on oeis4.)