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A294103 Sum of the differences of the larger and smaller parts in the partitions of 2n into two squarefree parts or two nonsquarefree parts. 0
0, 2, 4, 12, 4, 24, 20, 54, 40, 72, 70, 114, 62, 116, 62, 182, 126, 292, 134, 330, 182, 412, 190, 460, 202, 468, 380, 518, 490, 632, 462, 692, 458, 890, 562, 1184, 638, 1088, 590, 1206, 590, 1430, 678, 1556, 986, 1578, 952, 1772, 1032, 1876, 1214, 1986, 1326 (list; graph; refs; listen; history; text; internal format)
OFFSET
1,2
LINKS
FORMULA
a(n) = 2 * Sum_{i=1..n} (n - i) * [A008966(i) = A008966(2n-i)], where [] is the Iverson bracket.
MATHEMATICA
Table[2 Sum[(n - k) KroneckerDelta[MoebiusMu[k]^2, MoebiusMu[2 n - k]^2], {k, n}], {n, 80}]
CROSSREFS
Sequence in context: A070314 A075554 A365000 * A137369 A334766 A336847
KEYWORD
nonn,easy
AUTHOR
Wesley Ivan Hurt, Oct 22 2017
STATUS
approved

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Last modified April 17 12:12 EDT 2024. Contains 371763 sequences. (Running on oeis4.)