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A294209
Sum of the smaller parts in the partitions of n into two squarefree parts or two nonsquarefree parts.
2
0, 1, 1, 3, 2, 4, 3, 10, 5, 8, 6, 18, 15, 11, 8, 29, 26, 25, 13, 44, 34, 31, 19, 63, 41, 47, 44, 82, 53, 59, 36, 101, 64, 90, 49, 160, 79, 85, 66, 155, 98, 98, 123, 190, 156, 112, 107, 226, 147, 149, 126, 312, 175, 188, 142, 301, 202, 190, 173, 344, 232, 203
OFFSET
1,4
FORMULA
a(n) = Sum_{i=1..floor(n/2)} i * [A008966(i) = A008966(n-i)], where [] is the Iverson bracket.
MATHEMATICA
Table[Sum[k*KroneckerDelta[MoebiusMu[k]^2, MoebiusMu[n - k]^2], {k, Floor[n/2]}], {n, 80}]
CROSSREFS
Sequence in context: A325705 A243407 A061721 * A066257 A085591 A062964
KEYWORD
easy,nonn
AUTHOR
Wesley Ivan Hurt, Oct 24 2017
STATUS
approved