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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.

A223866 Number of 3Xn 0..3 arrays with rows and antidiagonals unimodal and columns nondecreasing.

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%I A223866 #6 Jul 23 2025 04:36:28
%S A223866 20,400,4884,41682,273959,1477240,6818350,27746619,101698292,
%T A223866 341120712,1060013078,3081189588,8443340635,21952389700,54443494785,
%U A223866 129382581759,295772387822,652604111790,1393875593290,2889329636208,5825806879833
%N A223866 Number of 3Xn 0..3 arrays with rows and antidiagonals unimodal and columns nondecreasing.
%C A223866 Row 3 of A223864
%H A223866 R. H. Hardin, <a href="/A223866/b223866.txt">Table of n, a(n) for n = 1..210</a>
%F A223866 Empirical: a(n) = (1/3629463552000)*n^18 + (7/403273728000)*n^17 + (667/951035904000)*n^16 + (3281/174356582400)*n^15 + (148069/402361344000)*n^14 + (1366301/249080832000)*n^13 + (3748907/57480192000)*n^12 + (1190879/1916006400)*n^11 + (344761547/73156608000)*n^10 + (684241027/24385536000)*n^9 + (104051693257/804722688000)*n^8 + (54794329/119750400)*n^7 + (786440609/628992000)*n^6 + (81330893999/31135104000)*n^5 + (895703793151/217945728000)*n^4 + (8582457311/1816214400)*n^3 + (317136049/79168320)*n^2 + (10267897/6126120)*n + 1
%e A223866 Some solutions for n=3
%e A223866 ..0..1..2....0..1..0....3..2..0....0..0..0....0..0..0....0..2..0....0..0..0
%e A223866 ..2..2..2....0..3..0....3..2..0....1..3..1....3..1..0....0..2..0....1..1..0
%e A223866 ..2..3..3....1..3..2....3..3..0....3..3..2....3..3..1....1..3..1....3..3..1
%K A223866 nonn
%O A223866 1,1
%A A223866 _R. H. Hardin_ Mar 28 2013