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 A360333 #25 Feb 08 2023 15:12:07 %S A360333 1,1,1,1,2,1,1,2,3,1,1,2,4,5,1,1,2,4,7,8,1,1,2,4,10,13,13,1,1,2,4,11, %T A360333 19,24,21,1,1,2,4,11,22,41,44,34,1,1,2,4,11,23,48,84,81,55,1,1,2,4,11, %U A360333 23,64,101,180,149,89,1 %N A360333 Array read by antidiagonals downwards: A(n,m) = number of set partitions of [4n] into 4-element subsets {i, i+k, i+2k, i+3k} with 1 <= k <= m. %F A360333 A(n,m) = A104430(n) = A104443(n,4) for m >= floor((4n - 1) / 3). %e A360333 Square array begins: %e A360333 1, 1, 1, 1, 1, 1, 1, 1, 1, ... %e A360333 1, 2, 2, 2, 2, 2, 2, 2, 2, ... %e A360333 1, 3, 4, 4, 4, 4, 4, 4, 4, ... %e A360333 1, 5, 7, 10, 11, 11, 11, 11, 11, ... %e A360333 1, 8, 13, 19, 22, 23, 23, 23, 23, ... %e A360333 1, 13, 24, 41, 48, 64, 68, 68, 68, ... %e A360333 1, 21, 44, 84, 101, 134, 147, 148, 161, ... %e A360333 1, 34, 81, 180, 225, 318, 353, 409, 444, ... %e A360333 1, 55, 149, 372, 485, 721, 814, 929, 1092, ... %e A360333 ... %Y A360333 Main diagonal is A337520. %Y A360333 Columns 1..3 are A000012, A000045(n+1), A000073(n+2). %Y A360333 Cf. A104430, A104443, A360334, A360335. %K A360333 nonn,tabl %O A360333 1,5 %A A360333 _Peter Dolland_, Feb 03 2023