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

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

Table[2 n*Sum[MoebiusMu[i]^2 MoebiusMu[2 n - i]^2, {i, n}], {n, 80}] (* Wesley Ivan Hurt, Jan 05 2024 *)

Crossrefs

Cf. A008683, A226237, A280226, A280250, A280251.

Sequence in context: A111058 A063622 A162152 * A013654 A359964 A277804

Adjacent sequences: A280249 A280250 A280251 * A280253 A280254 A280255

Keyword

nonn,easy

Author

Wesley Ivan Hurt, Dec 29 2016

Status

approved