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 A375378 #5 Aug 17 2024 13:57:56 %S A375378 1,1,2,1,3,2,1,1,4,3,4,2,1,1,1,1,5,4,9,3,8,4,2,2,1,1,1,1,1,1,1,1,6,5, %T A375378 16,4,27,9,3,3,16,8,16,4,2,2,2,2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,7,6, %U A375378 25,5,64,16,4,4,81,27,81,9,3,3,3,3,32,16 %N A375378 Value of the power tower formed by the numbers in the n-th composition (in standard order). %C A375378 It is natural to define a(0) = 1. %F A375378 a(n) = A065120(n)^a(A053645(n)) for n >= 1. %F A375378 a(n) = 1 if and only if A065120(n) <= 1, i.e., if and only if n is in A004760. %e A375378 For n = 38, the 38th composition is (3,1,2), so a(38) = 3^1^2 = 3^1 = 3. %Y A375378 Cf. A004760, A053645, A065120, A066099 (compositions in standard order), A375379. %K A375378 nonn %O A375378 0,3 %A A375378 _Pontus von Brömssen_, Aug 14 2024