# Greetings from The On-Line Encyclopedia of Integer Sequences! http://oeis.org/ Search: id:a294236 Showing 1-1 of 1 %I A294236 #12 Jun 20 2019 04:20:33 %S A294236 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 A294236 38,45,52,59,66,57,64,71,78,67,74,81,88,75,82,89,96,104,113,122,131, %U A294236 116,126,111,121,132,143,127,138,121,132,143,154,166,178,190 %N A294236 Sum of the smaller parts of the partitions of n into two parts with larger part nonsquarefree. %H A294236 Index entries for sequences related to partitions %F A294236 a(n) = Sum_{i=1..floor(n/2)} i * (1 - mu(n-i)^2), where mu is the Möbius function (A008683). %t A294236 Table[Sum[k (1 - MoebiusMu[n - k]^2), {k, Floor[n/2]}], {n, 80}] %Y A294236 Cf. A008683, A008966, A294237. %K A294236 nonn,easy %O A294236 1,6 %A A294236 _Wesley Ivan Hurt_, Oct 25 2017 # Content is available under The OEIS End-User License Agreement: http://oeis.org/LICENSE