A223769 - OEIS

%I #4 Mar 27 2013 04:56:51

%S 29,267,1097,3141,7564,16742,35513,73427,149053,297518,583860,1125118,

%T 2126567,3939287,7150127,12719513,22189580,37994506,63918056,

%U 105761409,172308985,276713314,438464653,686170386,1061447357,1624332246

%N Number of nX7 0..1 arrays with rows, columns and antidiagonals unimodal and diagonals nondecreasing

%C Column 7 of A223770

%H R. H. Hardin, <a href="/A223769/b223769.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = (1/87178291200)*n^14 - (1/1779148800)*n^13 + (1/38320128)*n^12 - (127/191600640)*n^11 + (311/12441600)*n^10 - (2021/3225600)*n^9 + (2304587/121927680)*n^8 - (6921119/17418240)*n^7 + (278861369/43545600)*n^6 - (1599083081/21772800)*n^5 + (2209531079/3421440)*n^4 - (4215012997/997920)*n^3 + (3157078175059/151351200)*n^2 - (25129653953/360360)*n + 120027 for n>10

%e Some solutions for n=3

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

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

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

%K nonn

%O 1,1

%A _R. H. Hardin_ Mar 27 2013