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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 (list; graph; refs; listen; history; text; internal format)
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(2n-i)^2).

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*n-i)^2)); \\ Michel Marcus, Feb 11 2018

CROSSREFS

Cf. A008966, A294243.

Sequence in context: A035507 A138612 A246680 * A296449 A253792 A058330

Adjacent sequences:  A294241 A294242 A294243 * A294245 A294246 A294247

KEYWORD

nonn,easy

AUTHOR

Wesley Ivan Hurt, Oct 25 2017

STATUS

approved

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Last modified February 17 15:19 EST 2019. Contains 320220 sequences. (Running on oeis4.)