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A092282 Difference between largest square number and largest cube number less than n. 0
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 (list; graph; refs; listen; history; text; internal format)
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

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Last modified October 5 19:55 EDT 2022. Contains 357261 sequences. (Running on oeis4.)