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Untouchable cubes.
1

%I #10 Sep 23 2022 05:40:52

%S 216,1728,5832,8000,13824,21952,27000,74088,110592,157464,175616,

%T 195112,216000,238328,287496,314432,343000,373248,729000,884736,

%U 941192,1061208,1124864,1259712,1481544,1728000,2000376,2097152,2628072,2744000,2985984,3241792,3511808

%N Untouchable cubes.

%C Untouchable numbers (cf. A005114) that are third powers (cf. A000578); a(1) to a(7) are the third powers of 6, 12, 18, 20, 24, 28, 30.

%H Amiram Eldar, <a href="/A121683/b121683.txt">Table of n, a(n) for n = 1..45</a>

%e 216 = 6^3 = A000578(6) = A005114(13).

%Y Intersection of A000578 and A005114.

%Y Cf. A111278 (untouchable squares).

%K nonn

%O 1,1

%A _Klaus Brockhaus_, Aug 15 2006

%E a(8)-a(30) from _Donovan Johnson_, Jul 19 2008

%E Terms a(26)-a(30) corrected and a(31)-a(33) added by _Amiram Eldar_, Sep 23 2022