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A294246 Sum of the smaller parts of the partitions of 2n into two parts with smaller part nonsquarefree. 2
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 (list; graph; refs; listen; history; text; internal format)
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).

MATHEMATICA

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

CROSSREFS

Cf. A008966, A294245.

Sequence in context: A190718 A035621 A046109 * A107680 A285052 A202686

Adjacent sequences:  A294243 A294244 A294245 * A294247 A294248 A294249

KEYWORD

nonn,easy

AUTHOR

Wesley Ivan Hurt, Oct 25 2017

STATUS

approved

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Last modified March 19 17:19 EDT 2019. Contains 321330 sequences. (Running on oeis4.)