cp's OEIS Frontend

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.

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.

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%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