Year-end appeal: Please make a donation to the OEIS Foundation to support ongoing development and maintenance of the OEIS. We are now in our 61st year, we have over 378,000 sequences, and we’ve reached 11,000 citations (which often say “discovered thanks to the OEIS”).
%I #6 Oct 18 2021 13:38:18
%S 7,49,232,824,2388,5992,13582,28642,57306,110164,205131,371923,658926,
%T 1143584,1947904,3261320,5374024,8725020,13970658,22081342,34476575,
%U 53211615,81232894,122724138,183570978,271978936,399288201,581038793
%N Number of 6 X n 0..1 arrays with rows and antidiagonals unimodal and columns nondecreasing.
%C Row 6 of A223838.
%H R. H. Hardin, <a href="/A223842/b223842.txt">Table of n, a(n) for n = 1..210</a>
%F Empirical: a(n) = (1/479001600)*n^12 - (1/15966720)*n^11 + (13/6220800)*n^10 - (1/53760)*n^9 + (6631/14515200)*n^8 + (125/96768)*n^7 - (1017767/43545600)*n^6 + (1429367/1451520)*n^5 - (7479853/1555200)*n^4 + (4300223/120960)*n^3 - (151629803/1663200)*n^2 - (12136/231)*n + 528 for n>6.
%e Some solutions for n=3
%e ..0..1..0....0..0..0....0..0..0....0..0..0....1..1..0....0..0..0....0..0..0
%e ..0..1..0....1..0..0....0..0..0....0..0..0....1..1..0....0..0..0....0..0..0
%e ..0..1..0....1..0..0....0..0..1....0..0..0....1..1..0....0..1..0....0..0..0
%e ..0..1..0....1..1..0....0..1..1....0..0..0....1..1..0....0..1..1....1..0..0
%e ..0..1..0....1..1..1....1..1..1....0..0..0....1..1..1....1..1..1....1..1..0
%e ..1..1..0....1..1..1....1..1..1....0..1..1....1..1..1....1..1..1....1..1..1
%Y Cf. A223838.
%K nonn
%O 1,1
%A _R. H. Hardin_ Mar 27 2013