A092282 Difference between largest square number and largest cube number less than n.

0, 0, 0, 3, 3, 3, 3, -4, 1, 1, 1, 1, 1, 1, 1, 8, 8, 8, 8, 8, 8, 8, 8, 8, 17, 17, -2, -2, -2, -2, -2, -2, -2, -2, -2, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 22, 22, 22, 22, 22, 22, 22, 22, 22, 22, 22, 22, 22, 22, 22, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 36

Offset

1,4

Links

Table of n, a(n) for n=1..100.

Formula

a(n) = floor(n^(1/2))^2 - floor(n^(1/3))^3.

a(n) = A000196(n)^2 - A048766(n)^3. - Michel Marcus, Aug 27 2013

Example

n = 10; largest square = 3^2 = 9; largest cube = 2^3 = 8; a(10) = 9 - 8 = 1.

Prog

(PARI) a(n) = sqrtint(n)^2 - sqrtnint(n, 3)^3; \\ Michel Marcus, Aug 26 2013
(PARI) a(n) = sqrtnint(n, 2)^2 - sqrtnint(n, 3)^3; \\ Michel Marcus, Aug 26 2013

Crossrefs

Sequence in context: A290658 A264097 A177013 * A263998 A048181 A091799

Adjacent sequences: A092279 A092280 A092281 * A092283 A092284 A092285

Keyword

easy,sign

Author

Felix Tubiana, Jan 27 2004

Extensions

a(64) corrected by Michel Marcus, Aug 26 2013

Status

approved