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A280252

Sum of the parts in the partitions of 2n into two squarefree parts.

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

(list; graph; refs; listen; history; text; internal format)

OFFSET

1,1

LINKS

Table of n, a(n) for n=1..52.

Index entries for sequences related to partitions

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