A358038 - OEIS

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A358038

Partial sums of the cubefree numbers.

1, 3, 6, 10, 15, 21, 28, 37, 47, 58, 70, 83, 97, 112, 129, 147, 166, 186, 207, 229, 252, 277, 303, 331, 360, 390, 421, 454, 488, 523, 559, 596, 634, 673, 714, 756, 799, 843, 888, 934, 981, 1030, 1080, 1131, 1183, 1236, 1291, 1348, 1406, 1465, 1525, 1586, 1648, 1711

(list; graph; refs; listen; history; text; internal format)

OFFSET

1,2

COMMENTS

First differs from A025706 and A025730 at n = 14.

The analogous sequence with squarefree numbers is A173143.

LINKS

Amiram Eldar, Table of n, a(n) for n = 1..10000

Zhu Weiyi, On the cube free number sequences, Smarandache Notions J., Vol. 14 (2004), pp. 199-202.

FORMULA

a(n) = Sum_{k=1..n} A004709(k).

a(n) = (zeta(3)/2)*n^2 + O(n^(3/2+eps)) (Weiyi, 2004).