A223619 - OEIS

%I #4 Mar 24 2013 07:11:40

%S 29,841,14547,160883,1271969,7795951,39162020,167679972,629671260,

%T 2118764468,6495046664,18377663488,48503155274,120433134332,

%U 283334050243,635338765283,1364719186775,2820129263963,5627010952649,10875524219289

%N Number of nX7 0..1 arrays with rows and columns unimodal

%C Column 7 of A223620

%H R. H. Hardin, <a href="/A223619/b223619.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = (503/209563200)*n^14 + (6527/155675520)*n^13 + (17/31185)*n^12 + (37901/8553600)*n^11 + (76799/2721600)*n^10 + (46471/362880)*n^9 + (3497567/7620480)*n^8 + (936493/777600)*n^7 + (467419/181440)*n^6 + (320807/77760)*n^5 + (69073271/11975040)*n^4 + (29326111/4989600)*n^3 + (60167903/11642400)*n^2 + (191717/72072)*n + 1

%e Some solutions for n=4

%e ..0..0..0..0..0..0..0....0..0..0..0..0..1..1....0..0..0..0..0..0..0

%e ..0..0..0..1..1..1..0....0..0..1..1..1..1..1....0..0..1..1..1..1..1

%e ..1..0..0..0..0..0..0....0..1..1..1..1..0..0....1..1..1..1..1..1..1

%e ..0..1..0..0..0..0..0....0..1..1..1..1..0..0....0..0..1..1..1..1..0

%K nonn

%O 1,1

%A _R. H. Hardin_ Mar 24 2013