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 A182377 #15 Mar 11 2014 01:34:17 %S A182377 0,0,0,1,2,5,8,14,21,32,45,67,91 %N A182377 Total sum of positive ranks of all regions in the last shell of n. %C A182377 The rank of a region of n is the largest part minus the number of parts. For the definition of "region of n" see A206437. For the definition of "last shell of n" see A135010. %C A182377 a(n) is also the sum of positive integers in row n of triangle A194447. First differs from A000094 at a(12). %H A182377 Omar E. Pol, <a href="http://www.polprimos.com/imagenespub/polpar02.jpg">Illustration of the seven regions of 5</a> %e A182377 For n = 7 the last shell of 7 contains four regions: [3],[5,2],[4],[7,3,2,2,1,1,1,1,1,1,1,1,1,1,1] so we have: %e A182377 ---------------------------------------------------------- %e A182377 . Largest Number %e A182377 Region part of parts Rank %e A182377 ---------------------------------------------------------- %e A182377 . 1 3 1 2 %e A182377 . 2 5 2 3 %e A182377 . 3 4 1 3 %e A182377 . 4 7 15 -8 %e A182377 . %e A182377 The sum of positive ranks is a(7) = 2 + 3 + 3 = 8. %Y A182377 Cf. A000094, A135010, A138121, A182699, A182709, A183152, A186114, A187219, A194436-A194439, A194447-A194448, A196025, A206437, A209616. %K A182377 nonn,more %O A182377 1,5 %A A182377 _Omar E. Pol_, Apr 29 2012