|
%I #4 Apr 05 2013 20:55:33
%S 128,2916,16684,52700,129402,284254,590254,1183226,2313915,4440909,
%T 8390988,15630228,28711640,51997668,92801492,163153936,282488024,
%U 481647192,808773552,1337828696,2180752418,3504587582,5555307682
%N Number of 7Xn 0..1 arrays with rows unimodal and antidiagonals nondecreasing
%C Row 7 of A224409
%H R. H. Hardin, <a href="/A224414/b224414.txt">Table of n, a(n) for n = 1..210</a>
%F Empirical: a(n) = (1/87178291200)*n^14 + (1/958003200)*n^13 + (1/21288960)*n^12 + (23/17418240)*n^11 + (331/12441600)*n^10 + (11671/29030400)*n^9 + (612743/121927680)*n^8 + (25375/497664)*n^7 + (15815113/14515200)*n^6 + (109956869/21772800)*n^5 + (221348047/3421440)*n^4 + (154662289/665280)*n^3 + (81821289727/75675600)*n^2 - (157721/140)*n - 1044 for n>5
%e Some solutions for n=3
%e ..0..0..1....1..1..0....0..0..0....0..0..0....0..1..0....1..0..0....0..1..0
%e ..0..1..1....1..1..0....1..1..0....1..0..0....1..1..0....0..0..0....1..1..0
%e ..1..1..0....1..0..0....1..0..0....0..0..0....1..0..0....0..0..0....1..0..0
%e ..1..0..0....0..0..1....0..0..0....1..0..0....0..1..0....1..1..0....0..0..1
%e ..1..0..0....0..1..0....0..0..0....1..0..0....1..0..0....1..1..0....1..1..0
%e ..0..0..0....1..0..0....0..0..0....0..0..0....1..0..0....1..0..0....1..1..0
%e ..0..1..0....0..0..1....0..1..1....0..1..1....0..1..1....0..1..0....1..1..1
%K nonn
%O 1,1
%A _R. H. Hardin_ Apr 05 2013
| 