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A294210
Sum of the larger parts in the partitions of n into two squarefree parts or two nonsquarefree parts.
2
0, 1, 2, 5, 3, 8, 11, 22, 13, 12, 16, 42, 37, 31, 37, 83, 59, 65, 44, 116, 71, 101, 73, 177, 109, 109, 118, 198, 150, 121, 150, 283, 200, 216, 196, 452, 254, 219, 246, 485, 312, 280, 350, 602, 429, 302, 316, 686, 490, 351, 282, 780, 567, 568, 298, 819, 596
OFFSET
1,3
FORMULA
a(n) = Sum_{i=1..floor(n/2)} (n-i) * [A008966(i) = A008966(n-i)], where [] is the Iverson bracket.
MATHEMATICA
Table[Sum[(n - k)*KroneckerDelta[MoebiusMu[k]^2, MoebiusMu[n - k]^2], {k, Floor[n/2]}], {n, 80}]
CROSSREFS
Sequence in context: A081146 A261927 A262870 * A244418 A082652 A194007
KEYWORD
nonn,easy
AUTHOR
Wesley Ivan Hurt, Oct 24 2017
STATUS
approved