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 A206283 #25 Dec 17 2018 18:48:46 %S A206283 1,3,1,5,3,1,9,7,3,1,12,12,7,3,1,20,21,14,7,3,1,25,31,24,14,7,3,1,38, %T A206283 47,40,26,14,7,3,1,49,66,61,43,26,14,7,3,1,69,93,92,70,45,26,14,7,3,1, %U A206283 87,124,130,106,73,45,26,14,7,3,1 %N A206283 Triangle read by rows: T(n,k) = sum of the k-th parts of all partitions of n with their parts written in nondecreasing order. %C A206283 In row n, the sum of all odd-indexed terms minus the sum of all even-indexed terms is equal to A194714(n). %C A206283 Reversed rows converge to A014153. - _Alois P. Heinz_, Feb 13 2012 %H A206283 Alois P. Heinz, <a href="/A206283/b206283.txt">Rows n = 1..70, flattened</a> %e A206283 Row 4 is 9, 7, 3, 1 because the five partitions of 4, with their parts written in nondecreasing order, are %e A206283 . 4 %e A206283 . 1, 3 %e A206283 . 2, 2 %e A206283 . 1, 1, 2 %e A206283 . 1, 1, 1, 1 %e A206283 ------------------------------------------- %e A206283 And the sums of the columns are 9, 7, 3, 1. %e A206283 . %e A206283 Triangle begins: %e A206283 1; %e A206283 3, 1; %e A206283 5, 3, 1; %e A206283 9, 7, 3, 1; %e A206283 12, 12, 7, 3, 1; %e A206283 20, 21, 14, 7, 3, 1; %e A206283 25, 31, 24, 14, 7, 3, 1; %e A206283 38, 47, 40, 26, 14, 7, 3, 1; %e A206283 49, 66, 61, 43, 26, 14, 7, 3, 1; %e A206283 69, 93, 92, 70, 45, 26, 14, 7, 3, 1; %Y A206283 Column 1 is A046746. Row sums give A066186. %Y A206283 Cf. A014153, A181187, A194714. %K A206283 nonn,tabl %O A206283 1,2 %A A206283 _Omar E. Pol_, Feb 13 2012 %E A206283 More terms from _Alois P. Heinz_, Feb 13 2012