A075847 Difference between n^2 and the largest cube <= n^2.

0, 0, 3, 1, 8, 17, 9, 22, 0, 17, 36, 57, 19, 44, 71, 9, 40, 73, 108, 18, 57, 98, 141, 17, 64, 113, 164, 0, 55, 112, 171, 232, 24, 89, 156, 225, 296, 38, 113, 190, 269, 350, 36, 121, 208, 297, 388, 12, 107, 204, 303, 404, 507, 65, 172, 281, 392, 505, 620, 106, 225, 346

Offset

0,3

Comments

a(n) = n^2 - A077106(n).

a(n) = 0 iff n = m^(6*k).

a(n) = 0 when n is a cube. See A070923.

Links

Zak Seidov, Table of n, a(n) for n = 0..2000

Example

a(4)=8 because 4^2 - 2^3 = 8; a(9)=17 because 9^2 - 4^3 = 17.
A077106(20) = 343 = 7^3 is the largest cube <= 20^2 = 400, therefore a(20) = 400 - 343 = 57.

Mathematica

Table[a = n^2; a - Floor[a^(1/3)]^3, {n, 0, 300}] (* Vladimir Joseph Stephan Orlovsky, Jun 03 2011 *)

Crossrefs

Cf. A000290, A070923, A077110, A077111, A077116.

Cf. A070923.

Sequence in context: A049965 A221736 A077108 * A193602 A221125 A049967

Adjacent sequences: A075844 A075845 A075846 * A075848 A075849 A075850

Keyword

easy,nonn

Author

Zak Seidov and Reinhard Zumkeller, Oct 15 2002

Extensions

Edited by N. J. A. Sloane at the suggestion of Zak Seidov, Oct 30 2008

Status

approved