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A224358 Number of 7Xn 0..2 arrays with diagonals and antidiagonals unimodal and rows nondecreasing.

%I A224358 #6 Jul 23 2025 05:07:17
%S A224358 2187,279936,2710892,11704964,37433596,107694133,300892325,834305212,
%T A224358 2288859662,6150132424,16041429234,40392369273,97941685953,
%U A224358 228592108824,513973817853,1114992467592,2338135911280,4749060805124,9361861348424
%N A224358 Number of 7Xn 0..2 arrays with diagonals and antidiagonals unimodal and rows nondecreasing.
%C A224358 Row 7 of A224353
%H A224358 R. H. Hardin, <a href="/A224358/b224358.txt">Table of n, a(n) for n = 1..116</a>
%F A224358 Empirical: a(n) = (118519/21794572800)*n^14 + (2257/124540416)*n^13 + (126449/119750400)*n^12 + (175069/21772800)*n^11 + (49727/544320)*n^10 + (1018841/1451520)*n^9 + (447386489/76204800)*n^8 + (2968546327/21772800)*n^7 - (29364148727/21772800)*n^6 + (37983445967/2177280)*n^5 - (4238661826723/59875200)*n^4 + (1152210830677/3326400)*n^3 - (7620593288311/18918900)*n^2 + (1232004733/910)*n - 8483920 for n>9
%e A224358 Some solutions for n=3
%e A224358 ..0..0..0....0..0..0....0..0..0....0..0..0....0..0..0....0..0..0....0..0..0
%e A224358 ..0..0..2....0..0..2....0..0..1....0..1..2....0..1..1....0..1..1....0..1..1
%e A224358 ..0..0..2....0..1..1....0..0..2....0..0..0....0..1..2....0..0..1....0..0..0
%e A224358 ..0..0..0....0..1..2....0..2..2....0..0..1....0..0..0....0..1..2....0..0..0
%e A224358 ..0..0..2....0..0..1....0..2..2....0..1..1....0..0..2....1..1..2....0..2..2
%e A224358 ..0..0..1....0..1..1....0..0..1....0..0..2....2..2..2....1..1..1....0..0..1
%e A224358 ..0..1..1....1..1..2....0..2..2....0..2..2....0..1..1....0..1..2....0..0..2
%K A224358 nonn
%O A224358 1,1
%A A224358 _R. H. Hardin_ Apr 04 2013