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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.

A223862 Number of nX6 0..3 arrays with rows and antidiagonals unimodal and columns nondecreasing.

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%I A223862 #6 Jul 23 2025 04:36:02
%S A223862 610,52591,1477240,22852913,243933798,1989679315,13140481520,
%T A223862 73068868012,352040804450,1502130487437,5774921786002,20281095690376,
%U A223862 65798275499953,199037907806762,565735226772194,1520829902726663,3888227083552907
%N A223862 Number of nX6 0..3 arrays with rows and antidiagonals unimodal and columns nondecreasing.
%C A223862 Column 6 of A223864
%H A223862 R. H. Hardin, <a href="/A223862/b223862.txt">Table of n, a(n) for n = 1..210</a>
%F A223862 Empirical: a(n) = (42587101/1600593426432000)*n^18 + (42587101/44460928512000)*n^17 + (315292339/15692092416000)*n^16 + (41939983/145297152000)*n^15 + (4407829651/1426553856000)*n^14 + (41324477/1596672000)*n^13 + (19314677849/113164128000)*n^12 + (2898049019/3143448000)*n^11 + (876424981241/219469824000)*n^10 + (28801840747/2032128000)*n^9 + (50450804070829/1207084032000)*n^8 + (17909311831/177408000)*n^7 + (265168304450783/1471133664000)*n^6 + (27553165793177/163459296000)*n^5 - (2984221796923/29719872000)*n^4 - (816413565637/1009008000)*n^3 - (1198736836439/7718911200)*n^2 + (2348655877/471240)*n - 5035 for n>4
%e A223862 Some solutions for n=3
%e A223862 ..0..0..1..2..0..0....0..0..1..2..3..2....0..0..2..1..0..0....0..2..2..2..2..0
%e A223862 ..0..2..2..2..2..0....0..0..2..3..3..2....0..0..2..2..2..0....0..2..3..3..2..1
%e A223862 ..0..2..3..3..3..2....0..0..2..3..3..2....0..0..3..3..3..3....0..2..3..3..3..2
%K A223862 nonn
%O A223862 1,1
%A A223862 _R. H. Hardin_ Mar 28 2013