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 A354388 #18 Jun 13 2022 18:09:00 %S A354388 0,0,1,0,1,2,0,1,2,3,0,1,2,2,4,0,1,2,3,3,5,0,1,2,3,2,4,6,0,1,2,3,4,3, %T A354388 3,7,0,1,2,3,4,2,4,4,8,0,1,2,3,4,5,3,4,5,9,0,1,2,3,4,5,2,4,5,6,10,0,1, %U A354388 2,3,4,5,6,3,5,6,4,11,0,1,2,3,4,5,6,2 %N A354388 Table read upward by antidiagonals: the n-th row gives the sums of each weakly decreasing nonnegative integer sequence of length n, listed in lexicographic order. %H A354388 Peter Kagey, <a href="/A354388/b354388.txt">Table of n, a(n) for n = 1..10011</a> (first 141 rows, flattened) %e A354388 For n = 3, the weakly decreasing nonnegative integer sequences of length 3 listed in lexicographic order are (0,0,0), (1,0,0), (1,1,0), (1,1,1), (2,0,0), (2,1,0), (2,1,1), .... %e A354388 The sums of these sequences correspond to row 3. %e A354388 The table begins: %e A354388 1 | 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, ... %e A354388 2 | 0, 1, 2, 2, 3, 4, 3, 4, 5, 6, 4, 5, 6, 7, 8, ... %e A354388 3 | 0, 1, 2, 3, 2, 3, 4, 4, 5, 6, 3, 4, 5, 5, 6, ... %e A354388 4 | 0, 1, 2, 3, 4, 2, 3, 4, 5, 4, 5, 6, 6, 7, 8, ... %e A354388 5 | 0, 1, 2, 3, 4, 5, 2, 3, 4, 5, 6, 4, 5, 6, 7, ... %e A354388 6 | 0, 1, 2, 3, 4, 5, 6, 2, 3, 4, 5, 6, 7, 4, 5, ... %e A354388 7 | 0, 1, 2, 3, 4, 5, 6, 7, 2, 3, 4, 5, 6, 7, 8, ... %e A354388 8 | 0, 1, 2, 3, 4, 5, 6, 7, 8, 2, 3, 4, 5, 6, 7, ... %e A354388 9 | 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 2, 3, 4, 5, 6, ... %e A354388 10 | 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 2, 3, 4, 5, ... %e A354388 11 | 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 2, 3, 4, ... %e A354388 12 | 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 2, 3, ... %e A354388 ...| ... %Y A354388 Cf. A001477 (row 1), A051162 (row 2, when read by rows), A070770 (row 3), A070771 (row 4), A070772 (row 5). %K A354388 nonn,tabl %O A354388 1,6 %A A354388 _Peter Kagey_, May 24 2022