login
A280252
Sum of the parts in the partitions of 2n into two squarefree parts.
4
2, 8, 12, 24, 20, 48, 42, 80, 72, 120, 110, 168, 130, 196, 150, 256, 238, 396, 266, 440, 336, 572, 368, 624, 400, 728, 540, 728, 638, 900, 682, 960, 726, 1224, 910, 1512, 1036, 1520, 1014, 1600, 1066, 1848, 1204, 2024, 1530, 2116, 1598, 2304, 1666, 2500, 1836, 2704
OFFSET
1,1
FORMULA
a(n) = 2*n * A280226(n).
a(n) = A280250(n) + A280251(n).
MAPLE
with(numtheory): A280252:=n->2*n*add(mobius(i)^2*mobius(2*n-i)^2, i=1..n): seq(A280252(n), n=1..100);
MATHEMATICA
Table[2 n*Sum[MoebiusMu[i]^2 MoebiusMu[2 n - i]^2, {i, n}], {n, 80}] (* Wesley Ivan Hurt, Jan 05 2024 *)
CROSSREFS
KEYWORD
nonn,easy
AUTHOR
Wesley Ivan Hurt, Dec 29 2016
STATUS
approved