

A294244


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


1



0, 0, 2, 4, 3, 7, 13, 19, 17, 14, 22, 30, 27, 38, 52, 66, 64, 78, 74, 88, 82, 96, 113, 131, 126, 121, 143, 138, 132, 154, 178, 203, 197, 223, 251, 279, 271, 300, 332, 364, 357, 391, 427, 463, 455, 446, 484, 522, 512, 502, 492, 532, 520, 560, 546, 586, 570
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OFFSET

1,3


LINKS

Table of n, a(n) for n=1..57.
Index entries for sequences related to partitions


FORMULA

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


MATHEMATICA

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


PROG

(PARI) a(n) = sum(i=1, n, i*(1  moebius(2*ni)^2)); \\ Michel Marcus, Feb 11 2018


CROSSREFS

Cf. A008683, A008966, A294243.
Sequence in context: A035507 A138612 A246680 * A333028 A296449 A309201
Adjacent sequences: A294241 A294242 A294243 * A294245 A294246 A294247


KEYWORD

nonn,easy


AUTHOR

Wesley Ivan Hurt, Oct 25 2017


STATUS

approved



