|
%I #6 Apr 17 2022 22:49:58
%S 148,4102,40182,240829,1122522,4480391,15921905,51343083,152072846,
%T 417672794,1072431538,2592681873,5938784236,12959932409,27074244297,
%U 54373767111,105367428574,197658533498,359961664018,638001956409
%N Number of n X 6 0..2 arrays with rows and antidiagonals unimodal and columns nondecreasing.
%C Column 6 of A224262.
%H R. H. Hardin, <a href="/A224260/b224260.txt">Table of n, a(n) for n = 1..210</a>
%F Empirical: a(n) = (761/8553600)*n^12 + (1733/3326400)*n^11 + (4339/388800)*n^10 + (1187/17280)*n^9 + (917087/1814400)*n^8 + (72307/25200)*n^7 + (1789211/194400)*n^6 + (1748533/24192)*n^5 + (3929747/97200)*n^4 + (7565567/21600)*n^3 - (359937251/415800)*n^2 - (7897829/2310)*n + 10655 for n>6.
%e Some solutions for n=3
%e ..0..0..2..2..0..0....0..0..1..1..1..0....0..0..0..2..1..0....1..2..0..0..0..0
%e ..1..2..2..2..1..0....0..0..1..1..2..0....0..0..2..2..1..0....1..2..2..2..2..0
%e ..1..2..2..2..1..0....0..0..1..1..2..1....1..1..2..2..1..1....2..2..2..2..2..2
%Y Cf. A224262.
%K nonn
%O 1,1
%A _R. H. Hardin_, Apr 02 2013
| 