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 A285899 #50 Nov 07 2019 13:25:33 %S A285899 1,2,5,6,9,13,16,17,23,28,31,35,38,43,54,55,58,66,69,75,87,92,95,99, %T A285899 107,112,124,132,135,148,151,152,164,169,184,196,199,204,216,222,225, %U A285899 240,243,252,278,283,286,290,300,310,322,331,334,351,369,377,389,394,397,414,417,422,450,451,469,488,491,500,512,529 %N A285899 Total number of parts in all partitions of all positive integers <= n into consecutive parts. %C A285899 Partial sums of A204217. %C A285899 Sum of first n rows of the triangle A285914. %C A285899 Where records occur in A328365. - _Omar E. Pol_, Oct 22 2019 %C A285899 Row sums of A328368. - _Omar E. Pol_, Nov 04 2019 %e A285899 For n = 15 there are four partitions of 15 into consecutive parts: [15], [8, 7], [6, 5, 4] and [5, 4, 3, 2, 1]. The total number of parts in these four partitions is 11, and a(14) = 43, so a(15) = 43 + 11 = 54. %Y A285899 Cf. A001227, A196020, A204217, A235791, A237048, A237591, A237593, A245092, A285900, A285914, A299765, A328361, A328362, A328365, A328368. %K A285899 nonn %O A285899 1,2 %A A285899 _Omar E. Pol_, May 02 2017