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.
%I A072653 #17 Feb 24 2024 01:03:30 %S A072653 1,4,16,27,64,256,729,1024,3125,4096,16384,19683,46656,65536,262144, %T A072653 531441,823543,1048576,4194304,9765625,14348907,16777216,67108864, %U A072653 268435456,387420489,1073741824,2176782336,4294967296,10000000000 %N A072653 Uniqued integer solutions n to n = b^c = c^d. %C A072653 Numbers n such that (n^i)^(n^(1/i)) = (n^j)^(n^(1/j)) for some i and j. %F A072653 See A072651 for calculation method. %e A072653 1 is included because of solutions of the form b^0 = 0^0, 1^c = c^0 and 1^1 = 1^d; 4 since 2^2 = 2^2; 16 since 2^4 = 4^2 and 4^2 = 2^4; 27 since 3^3 = 3^3; 64 since 8^2 = 2^6; etc. %e A072653 The 10th element is n = 4096 with i = 12 and j = 6 because (4096^12)^(4096^(1/12)) = (4096^6)^(4096^(1/6)). %Y A072653 Cf. A072651, A072652. %K A072653 nonn %O A072653 1,2 %A A072653 _Henry Bottomley_, Jun 28 2002 %E A072653 Edited by _N. J. A. Sloane_ at the suggestion of _Andrew S. Plewe_, Oct 07 2006, Jun 05 2007