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 A360491 #13 Feb 13 2023 16:15:57 %S A360491 1,1,1,1,2,1,1,2,3,1,1,2,4,5,1,1,2,4,7,8,1,1,2,4,10,13,13,1,1,2,4,10, %T A360491 19,24,21,1,1,2,4,10,20,41,44,34,1,1,2,4,10,21,43,84,81,55,1,1,2,4,10, %U A360491 21,58,89,180,149,89,1,1,2,4,10,21,59,120,192,372,274,144,1 %N A360491 Square of A(n,m) read by antidiagonals. A(n,m) = number of set partitions of [5n] into 5-element subsets {i, i+k, i+2k, i+3k, i+4k} with 1 <= k <= m. %F A360491 A(n,m) = A104431(n) = A104443(n,5) for m >= floor((5n - 1) / 4). %e A360491 Square array begins: %e A360491 1, 1, 1, 1, 1, 1, 1, 1, 1, ... %e A360491 1, 2, 2, 2, 2, 2, 2, 2, 2, ... %e A360491 1, 3, 4, 4, 4, 4, 4, 4, 4, ... %e A360491 1, 5, 7, 10, 10, 10, 10, 10, 10, ... %e A360491 1, 8, 13, 19, 20, 21, 21, 21, 21, ... %e A360491 1, 13, 24, 41, 43, 58, 59, 59, 59, ... %e A360491 1, 21, 44, 84, 89, 120, 124, 125, 125, ... %e A360491 1, 34, 81, 180, 192, 280, 289, 344, 349, ... %e A360491 1, 55, 149, 372, 404, 626, 648, 759, 811, ... %e A360491 1, 89, 274, 785, 860, 1454, 1510, 1877, 1996, ... %e A360491 1, 144, 504, 1637, 1816, 3272, 3414, 4263, 4565, ... %e A360491 ... %Y A360491 Main diagonal is A349430. %Y A360491 Columns 1..3 are A000012, A000045(n+1), A000073(n+2). %Y A360491 Cf. A104431, A104443, A360333..A360335, A360492, A360493. %K A360491 nonn,tabl %O A360491 1,5 %A A360491 _Peter Dolland_, Feb 09 2023