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 A375379 #11 Aug 20 2024 11:26:22 %S A375379 1,2,3,4,4,9,8,16,5,16,27,81,16,512,256,65536,6,25,64,256,81,19683, %T A375379 6561,43046721,32,65536,134217728,2417851639229258349412352,65536 %N A375379 Value of the power tower formed by the numbers obtained by adding 1 to the terms in the n-th composition (in standard order). %C A375379 This is a version of A375378 that does not allow 1's in the power towers. %C A375379 It is natural to define a(0) = 1. %C A375379 The number k >= 1 appears A294336(k) times as a term in this sequence. %H A375379 Pontus von Brömssen, <a href="/A375379/b375379.txt">Table of n, a(n) for n = 0..30</a> %F A375379 a(n) = (A065120(n)+1)^a(A053645(n)) for n >= 1. %e A375379 For n = 31, the 31st composition is (1, 1, 1, 1, 1), so a(31) = 2^2^2^2^2 = 2^65536. %e A375379 For n = 37, the 37th composition is (3,2,1), so a(37) = 4^3^2 = 4^9 = 262144. %Y A375379 Cf. A053645, A065120, A066099 (compositions in standard order), A294336, A375378. %K A375379 nonn %O A375379 0,2 %A A375379 _Pontus von Brömssen_, Aug 14 2024