The OEIS mourns the passing of Jim Simons and is grateful to the Simons Foundation for its support of research in many branches of science, including the OEIS.
login
The OEIS is supported by the many generous donors to the OEIS Foundation.

 

Logo
Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
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
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
KEYWORD
easy,sign
AUTHOR
Felix Tubiana, Jan 27 2004
EXTENSIONS
a(64) corrected by Michel Marcus, Aug 26 2013
STATUS
approved

Lookup | Welcome | Wiki | Register | Music | Plot 2 | Demos | Index | Browse | More | WebCam
Contribute new seq. or comment | Format | Style Sheet | Transforms | Superseeker | Recents
The OEIS Community | Maintained by The OEIS Foundation Inc.

License Agreements, Terms of Use, Privacy Policy. .

Last modified June 14 13:28 EDT 2024. Contains 373400 sequences. (Running on oeis4.)