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.

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.

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%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