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A074451
Non-cubefree noncubes.
1
16, 24, 32, 40, 48, 54, 56, 72, 80, 81, 88, 96, 104, 108, 112, 120, 128, 135, 136, 144, 152, 160, 162, 168, 176, 184, 189, 192, 200, 208, 224, 232, 240, 243, 248, 250, 256, 264, 270, 272, 280, 288, 296, 297, 304, 312, 320, 324, 328, 336, 344, 351, 352, 360
OFFSET
1,1
LINKS
FORMULA
For n > 35, a(n) < 7n. Asymptotically, a(n) ~ kn with k = zeta(3)/(zeta(3)-1) = 5.949... . - Charles R Greathouse IV, Oct 16 2015 [Corrected by Amiram Eldar, Aug 31 2024]
Sum_{n>=1} 1/a(n)^s = 1 + zeta(s) - zeta(3*s) - zeta(s)/zeta(3*s), for s > 1. - Amiram Eldar, Aug 31 2024
MATHEMATICA
With[{m = 10}, Select[Complement[Range[m^3], Range[m]^3], AnyTrue[FactorInteger[#][[;; , 2]], #1 > 2 &] &]] (* Amiram Eldar, Aug 31 2024 *)
PROG
(PARI) is(n)=my(f=factor(n)[, 2]); f%3 && vecmax(f)>2 \\ Charles R Greathouse IV, Oct 16 2015
CROSSREFS
Intersection of A046099 and A007412.
Sequence in context: A140349 A369353 A088493 * A253782 A247065 A082803
KEYWORD
nonn
AUTHOR
Reinhard Zumkeller, Sep 25 2002
STATUS
approved