cp's OEIS Frontend

This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.

A088069 Cubes sandwiched between two numbers divisible by cubes > 1.

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%I A088069 #17 Aug 09 2025 19:31:00
%S A088069 4913,6859,166375,704969,2048383,4173281,7880599,12649337,15438249,
%T A088069 15813251,19902511,28372625,34328125,40353607,53582633,71473375,
%U A088069 90518849,115501303,141420761,174676879,208527857,251239591,294079625
%N A088069 Cubes sandwiched between two numbers divisible by cubes > 1.
%C A088069 Sequence is infinite. If k is a member then so is k^3. Subsidiary sequence: fourth powers sandwiched between two numbers divisible by fourth powers.
%e A088069 4913 = 17^3 is a term since 4912 is divisible by 8 and 4914 is divisible by 27.
%t A088069 Select[Range[2, 1000], Last[Union[Transpose[FactorInteger[ #^3 - 1]][[2]]]] > 2 && Last[Union[Transpose[FactorInteger[ #^3 + 1]][[2]]]] > 2 &]^3 (* _Tanya Khovanova_, Sep 08 2007 *)
%Y A088069 Subsequence of A088035.
%Y A088069 Cf. A088068.
%K A088069 nonn
%O A088069 1,1
%A A088069 _Amarnath Murthy_, Sep 22 2003
%E A088069 Corrected and extended by _Ray Chandler_, Sep 27 2003
%E A088069 Offset changed by _Andrew Howroyd_, Sep 22 2024