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 A208479 #11 Mar 30 2012 17:37:36 %S A208479 0,2,3,6,10,18,27,45,65,99,141,206,285,403,549,754,1011,1364,1800, %T A208479 2388,3116,4072,5257,6791,8678,11093,14058,17800,22380,28111,35087, %U A208479 43748,54256,67189,82831,101962,124997,153011,186632,227281,275905,334418,404159,487714 %N A208479 Total sum of the numbers of partitions with positive k-th ranks of all partitions of n. %C A208479 For the definition of k-th rank see A208478. %e A208479 For n = 4 the partitions of 4 and the four types of ranks of the partitions of 4 are %e A208479 ---------------------------------------------------------- %e A208479 Partitions First Second Third Fourth %e A208479 of 4 rank rank rank rank %e A208479 ---------------------------------------------------------- %e A208479 4 4-1 = 3 0-1 = -1 0-1 = -1 0-1 = -1 %e A208479 3+1 3-2 = 1 1-1 = 0 0-1 = -1 0-0 = 0 %e A208479 2+2 2-2 = 0 2-2 = 0 0-0 = 0 0-0 = 0 %e A208479 2+1+1 2-3 = -1 1-1 = 0 1-0 = 1 0-0 = 0 %e A208479 1+1+1+1 1-4 = -3 1-0 = 1 1-0 = 1 1-0 = 1 %e A208479 ---------------------------------------------------------- %e A208479 The number of partitions of 4 with positive k-th ranks are 2, 1, 2, 1 so the total sum is a(4) = 2+1+2+1 = 6. %Y A208479 Row sums of A208478. %Y A208479 Cf. A208482, A208483. %K A208479 nonn %O A208479 1,2 %A A208479 _Omar E. Pol_, Mar 07 2012 %E A208479 More terms from _Alois P. Heinz_, Mar 11 2012