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 A212868 #23 Sep 09 2019 12:06:03 %S A212868 0,0,0,0,0,0,0,1,0,0,0,2,1,0,0,0,5,3,1,0,0,0,7,9,5,2,0,0,0,12,16,15,6, %T A212868 2,0,0,0,16,29,29,22,9,2,0,0,0,22,43,59,52,32,12,3,0,0,0,28,64,103, %U A212868 112,82,40,15,3,0,0,0,37,92,168,212,199,122,59,17,3,0,0,0,43,127,259,376,407 %N A212868 Rectangular array T(n,k) = number of nondecreasing sequences of n 1..k integers with no element dividing the sequence sum (for n, k >= 1), read by decreasing antidiagonals. %C A212868 Table starts: %C A212868 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 ... %C A212868 0 0 1 2 5 7 12 16 22 28 37 43 54 64 75 86 ... %C A212868 0 0 1 3 9 16 29 43 64 92 127 168 219 281 355 435 ... %C A212868 0 0 1 5 15 29 59 103 168 259 386 553 772 1043 1401 1832 ... %C A212868 0 0 2 6 22 52 112 212 376 640 1011 1560 2293 3328 4711 6524 ... %C A212868 0 0 2 9 32 82 199 407 796 1424 2407 3948 6166 9456 14171 20556 ... %C A212868 0 0 2 12 40 122 319 722 1503 2872 5159 9087 15030 24441 38349 58701 ... %C A212868 0 0 3 15 59 182 503 1214 2693 5517 10574 19715 34318 58653 96517 154975 ... %C A212868 0 0 3 17 74 259 733 1912 4560 10052 20363 39988 73196 131054 225666 378925 ... %C A212868 0 0 3 22 97 363 1067 2960 7533 17497 37344 77105 148113 276174 498304 873878 ... %C A212868 ... %H A212868 R. H. Hardin, <a href="/A212868/b212868.txt">Table of n, a(n) for n = 1..958</a> %e A212868 All solutions for n=8 and k=4: %e A212868 2 2 2 3 3 2 2 2 2 3 2 2 2 3 2 %e A212868 2 3 2 4 3 2 2 2 2 3 2 2 3 3 3 %e A212868 2 3 3 4 3 2 3 2 2 3 2 2 3 3 4 %e A212868 2 3 3 4 4 2 3 3 2 3 3 2 3 3 4 %e A212868 2 3 3 4 4 2 3 3 2 3 4 3 3 3 4 %e A212868 3 3 4 4 4 2 3 3 2 3 4 4 3 3 4 %e A212868 3 3 4 4 4 2 3 4 3 4 4 4 4 3 4 %e A212868 3 3 4 4 4 3 4 4 4 4 4 4 4 4 4 %Y A212868 Cf. A161664 (row 2, cicada cycles), A212870 (row 3), A212871 (row 4), A212872 (row 5), A212873 (row 6), A212874 (row 7). %Y A212868 Cf. A212864 (column 4), A212865 (column 5), A212866 (column 6), A212867 (column 7). %Y A212868 Cf. A212869 (superdiagonal 1). %K A212868 nonn,tabl %O A212868 1,12 %A A212868 _R. H. Hardin_, May 29 2012