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 A184219 #7 Mar 30 2012 17:25:56 %S A184219 0,0,0,0,1,1,2,1,1,2,3,1,1,5,4,1,5,4,5,7,1,5,9,5,1,9,10,1,9,7,8,11,1, %T A184219 14,11,1,7,13,10,1,13,10,11,15,1,11,20,7,5,18,14,5,17,22,14,19,11,14, %U A184219 19,1,1,27,16,13,27,16,26,23 %N A184219 a(n) = A184218(n)/A130703(n) unless A130703(n) = 0 in which case a(n) = 0. %C A184219 a(n) is the "level" of triangular numbers. %C A184219 The decomposition of triangular numbers into weight * level + gap is A000217(n) = A130703(n) * a(n) + (n + 1) if a(n) > 0. %C A184219 A184218(n) = A000217(n) - (n + 1) if A000217(n) - (n + 1) > (n + 1), 0 otherwise. %H A184219 Rémi Eismann, <a href="/A184219/b184219.txt">Table of n, a(n) for n = 1..10000</a> %e A184219 For n = 3 we have A130703(3) = 0, hence a(3) = 0. %e A184219 For n = 5 we have A184218(5)/A130703(5) = 9 / 9 = 1, hence a(5) = 1. %e A184219 For n = 24 we have A184218(24)/A130703(24) = 275 / 55 = 5, hence a(24) = 5. %Y A184219 Cf. A000217, A000027, A130703, A184218, A118534, A117078, A117563, A001223. %K A184219 nonn %O A184219 1,7 %A A184219 _Rémi Eismann_, Jan 10 2011