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 A179621 #9 Mar 30 2012 17:25:56 %S A179621 0,1,1,4,2,2,1,7,2,4,1,10,5,1,12,5,13,2,7,1,16,11,17,2,1,19,2,10,1,22, %T A179621 11,1,24,7,25,10,1,27,11,28,14,2,1,31,21,32,16,1,34,17,14,1,37,25,38, %U A179621 19,1,40,20,1,42,17,43,2,1,45,13,46,31,47,2,1,49,14,25,1,52,26,2,1 %N A179621 a(n) = A179620(n)/A130882(n) unless A130882(n) = 0 in which case a(n) = 0. %C A179621 a(n) is the "level" of composite numbers. %C A179621 The decomposition of composite numbers into weight * level + gap is A002808(n) = A130882(n) * a(n) + A073783(n) if a(n) > 0. %C A179621 A179620(n) = A002808(n) - A073783(n) if A002808(n) - A073783(n) > A073783(n), 0 otherwise. %H A179621 Rémi Eismann, <a href="/A179621/b179621.txt">Table of n, a(n) for n = 1..10000</a> %e A179621 For n = 1 we have A130882(1) = 0, hence a(1) = 0. %e A179621 For n = 3 we have A179620(3)/A130882(3)= 7 / 7 = 1; hence a(3) = 1. %e A179621 For n = 24 we have A179620(24)/A130882(24)= 34 / 17 = 2; hence a(24) = 2. %Y A179621 Cf. A002808, A073783, A130882, A179620, A117078, A117563, A001223, A118534. %K A179621 nonn %O A179621 1,4 %A A179621 _Rémi Eismann_, Jan 09 2011