A294246 Sum of the smaller parts of the partitions of 2n into two parts with smaller part nonsquarefree.

0, 0, 0, 4, 4, 4, 4, 12, 21, 21, 21, 33, 33, 33, 33, 49, 49, 67, 67, 87, 87, 87, 87, 111, 136, 136, 163, 191, 191, 191, 191, 223, 223, 223, 223, 259, 259, 259, 259, 299, 299, 299, 299, 343, 388, 388, 388, 436, 485, 535, 535, 587, 587, 641, 641, 697, 697, 697

Offset

1,4

Links

Table of n, a(n) for n=1..58.

Index entries for sequences related to partitions

Formula

a(n) = Sum_{i=1..n} i * (1 - mu(i)^2), where mu is the Möbius function (A008683).

Mathematica

Table[Sum[k (1 - MoebiusMu[k]^2), {k, n}], {n, 80}]

Crossrefs

Cf. A008683, A008966, A294245.

Sequence in context: A035621 A046109 A377748 * A107680 A358509 A285052

Adjacent sequences: A294243 A294244 A294245 * A294247 A294248 A294249

Keyword

nonn,easy

Author

Wesley Ivan Hurt, Oct 25 2017

Status

approved