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A223637 T(n,k)=Number of nXk 0..1 arrays with rows, antidiagonals and columns unimodal.

%I A223637 #6 Jul 23 2025 04:19:20
%S A223637 2,4,4,7,16,7,11,49,49,11,16,121,229,121,16,22,256,801,801,256,22,29,
%T A223637 484,2297,3712,2297,484,29,37,841,5699,13599,13599,5699,841,37,46,
%U A223637 1369,12657,42109,61545,42109,12657,1369,46,56,2116,25753,114713,230619,230619
%N A223637 T(n,k)=Number of nXk 0..1 arrays with rows, antidiagonals and columns unimodal.
%C A223637 Table starts
%C A223637 ..2....4.....7......11.......16........22........29.........37..........46
%C A223637 ..4...16....49.....121......256.......484.......841.......1369........2116
%C A223637 ..7...49...229.....801.....2297......5699.....12657......25753.......48811
%C A223637 .11..121...801....3712....13599.....42109....114713.....282273......639165
%C A223637 .16..256..2297...13599....61545....230619....748950....2171533.....5738616
%C A223637 .22..484..5699...42109...230619...1026377...3907140...13135511....39889555
%C A223637 .29..841.12657..114713...748950...3907140..17224974...66448428...229624238
%C A223637 .37.1369.25753..282273..2171533..13135511..66448428..291563806..1138171082
%C A223637 .46.2116.48811..639165..5738616..39889555.229624238.1138171082..4984273228
%C A223637 .56.3136.87253.1350228.14032520.111242770.723456027.4024198094.19665608377
%H A223637 R. H. Hardin, <a href="/A223637/b223637.txt">Table of n, a(n) for n = 1..263</a>
%F A223637 Columns k=1..7 are polynomial of degree 2*k for n > 0,0,0,2,8,12
%e A223637 Some solutions for n=4 k=4
%e A223637 ..0..1..1..0....0..0..0..1....1..1..1..0....0..0..0..0....0..1..1..0
%e A223637 ..1..1..1..1....0..0..0..1....1..1..1..1....1..1..1..0....0..1..1..1
%e A223637 ..0..0..1..0....1..0..0..0....0..0..1..0....0..1..1..0....0..0..1..0
%e A223637 ..0..0..0..0....0..0..0..0....0..0..1..0....0..0..0..0....0..0..1..0
%Y A223637 Column 1 is A000124
%Y A223637 Column 2 is A086601
%K A223637 nonn,tabl
%O A223637 1,1
%A A223637 _R. H. Hardin_ Mar 24 2013