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 A360334 #23 Feb 08 2023 15:14:32 %S A360334 1,1,1,1,2,1,1,2,3,1,1,2,4,5,1,1,2,5,7,8,1,1,2,5,12,13,13,1,1,2,5,15, %T A360334 25,24,21,1,1,2,5,15,35,56,44,34,1,1,2,5,15,46,84,126,81,55,1,1,2,5, %U A360334 15,55,129,211,281,149,89,1,1,2,5,15,55,185,346,537,625,274,144,1 %N A360334 Array read by antidiagonals downwards: A(n,m) = number of set partitions of [3n] into 3-element subsets {i, i+k, i+2k} with 1 <= k <= m. %F A360334 A(n,m) = A104429(n) = A104443(n,3) for m >= floor((3n - 1) / 2). %e A360334 Square array begins: %e A360334 1, 1, 1, 1, 1, 1, 1, 1, 1, ... %e A360334 1, 2, 2, 2, 2, 2, 2, 2, 2, ... %e A360334 1, 3, 4, 5, 5, 5, 5, 5, 5, ... %e A360334 1, 5, 7, 12, 15, 15, 15, 15, 15, ... %e A360334 1, 8, 13, 25, 35, 46, 55, 55, 55, ... %e A360334 1, 13, 24, 56, 84, 129, 185, 232, 232, ... %e A360334 1, 21, 44, 126, 211, 346, 567, 831, 1040, ... %e A360334 1, 34, 81, 281, 537, 973, 1781, 2920, 4242, ... %e A360334 1, 55, 149, 625, 1352, 2732, 5643, 10213, 16110, ... %e A360334 ... %Y A360334 Main diagonal is A334250. %Y A360334 Columns 1..3 are A000012, A000045(n+1), A000073(n+2). %Y A360334 Cf. A104429, A104443, A360333, A360335. %K A360334 nonn,tabl %O A360334 1,5 %A A360334 _Peter Dolland_, Feb 03 2023