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 A210946 #20 Dec 01 2013 13:35:02 %S A210946 1,3,5,9,2,12,3,20,9,2,25,11,3,38,22,9,2,49,28,14,3,69,44,26,9,2,87, %T A210946 55,37,14,3,123,83,62,29,9,2,152 %N A210946 Triangle read by rows: T(n,k) = sum of parts in the k-th column of the mirror of the last section of the set of partitions of n with its parts aligned to the right margin. %C A210946 Row n lists the positive terms of the n-th row of triangle A210953 in decreasing order. %e A210946 For n = 7 the illustration shows two arrangements of the last section of the set of partitions of 7: %e A210946 . %e A210946 . (7) (7) %e A210946 . (4+3) (3+4) %e A210946 . (5+2) (2+5) %e A210946 . (3+2+2) (2+2+3) %e A210946 . (1) (1) %e A210946 . (1) (1) %e A210946 . (1) (1) %e A210946 . (1) (1) %e A210946 . (1) (1) %e A210946 . (1) (1) %e A210946 . (1) (1) %e A210946 . (1) (1) %e A210946 . (1) (1) %e A210946 . (1) (1) %e A210946 . (1) (1) %e A210946 . --------- %e A210946 . 25,11,3 %e A210946 . %e A210946 The left hand picture shows the last section of 7 with its parts aligned to the right margin. In the right hand picture (the mirror) we can see that the sum of all parts of the columns 1..3 are 25, 11, 3 therefore row 7 lists 25, 11, 3. %e A210946 Written as a triangle begins: %e A210946 1; %e A210946 3; %e A210946 5; %e A210946 9, 2; %e A210946 12, 3; %e A210946 20, 9, 2; %e A210946 25, 11, 3; %e A210946 38, 22, 9, 2; %e A210946 49, 28, 14, 3; %e A210946 69, 44, 26, 9, 2; %e A210946 87, 55, 37, 14, 3, %e A210946 123, 83, 62, 29, 9, 2; %Y A210946 Column 1 is A046746, n >= 1. Row sums give A138879. %Y A210946 Cf. A135010, A138121, A182703, A194714, A196807, A206437, A207031, A207034, A207035, A210945, A210952, A210953. %K A210946 nonn,tabf,more %O A210946 1,2 %A A210946 _Omar E. Pol_, Apr 21 2012