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 A208483 #13 Mar 30 2012 17:37:36 %S A208483 0,2,4,8,14,26,40,68,100,156,224,334,466,668,920,1278,1726,2356,3130, %T A208483 4190,5508,7254,9422,12268,15764,20284,25852,32934,41616,52578,65938, %U A208483 82648,102976,128144,158660,196222,241534,296946,363632,444650,541794,659268,799606 %N A208483 Total sum of the sums of all positive k-th ranks of all partitions of n. %C A208483 For the definition of k-th rank see A208478. %e A208483 For n = 4 the partitions of 4 and the four types of ranks of the partitions of 4 are %e A208483 ---------------------------------------------------------- %e A208483 Partitions First Second Third Fourth %e A208483 of 4 rank rank rank rank %e A208483 ---------------------------------------------------------- %e A208483 4 4-1 = 3 0-1 = -1 0-1 = -1 0-1 = -1 %e A208483 3+1 3-2 = 1 1-1 = 0 0-1 = -1 0-0 = 0 %e A208483 2+2 2-2 = 0 2-2 = 0 0-0 = 0 0-0 = 0 %e A208483 2+1+1 2-3 = -1 1-1 = 0 1-0 = 1 0-0 = 0 %e A208483 1+1+1+1 1-4 = -3 1-0 = 1 1-0 = 1 1-0 = 1 %e A208483 ---------------------------------------------------------- %e A208483 The sums of positive k-th ranks of the partitions of 4 are 4, 1, 2, 1 so the total sum is a(4) = 4+1+2+1 = 8. %Y A208483 Row sums of triangle A208482. %Y A208483 Cf. A208478, A208479. %K A208483 nonn %O A208483 1,2 %A A208483 _Omar E. Pol_, Mar 07 2012 %E A208483 More terms from _Alois P. Heinz_, Mar 11 2012