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A253407 T(n,k)=Number of (n+1)X(k+1) 0..2 arrays with every 2X2 subblock diagonal maximum plus antidiagonal minimum unequal to its neighbors horizontally, vertically and ne+sw antidiagonally 9

%I

%S 81,480,480,2890,2192,2890,17560,8168,8168,17560,106540,37828,27362,

%T 37828,106540,646240,158472,108950,108950,158472,646240,3920448,

%U 638602,367348,403698,367348,638602,3920448,23781448,2763096,1489310,1739014

%N T(n,k)=Number of (n+1)X(k+1) 0..2 arrays with every 2X2 subblock diagonal maximum plus antidiagonal minimum unequal to its neighbors horizontally, vertically and ne+sw antidiagonally

%C Table starts

%C ........81.......480......2890......17560......106540.......646240......3920448

%C .......480......2192......8168......37828......158472.......638602......2763096

%C ......2890......8168.....27362.....108950......367348......1489310......5662124

%C .....17560.....37828....108950.....403698.....1739014......7437150.....27085902

%C ....106540....158472....367348....1739014.....7257328.....30756372....139685535

%C ....646240....638602...1489310....7437150....30756372....196170260....954233428

%C ...3920448...2763096...5662124...27085902...139685535....954233428...4643086490

%C ..23781448..11635116..19137326..115826070...611083732...4184013494..27322067530

%C .144267352..48192624..76649188..489226254..2505801666..23948788480.163912344968

%C .875147104.204426054.290244550.1807771102.11760240950.123736222078.848291663906

%H R. H. Hardin, <a href="/A253407/b253407.txt">Table of n, a(n) for n = 1..480</a>

%F Empirical for column k:

%F k=1: [linear recurrence of order 10] for n>11

%F k=2: [order 40] for n>42

%F k=3: [order 56] for n>63

%F k=4: [order 60] for n>69

%e Some solutions for n=3 k=4

%e ..2..1..0..0..0....1..2..1..1..0....2..1..2..2..2....2..2..2..0..2

%e ..1..0..0..2..0....0..1..0..2..1....1..0..0..2..0....2..1..0..2..2

%e ..2..2..0..1..0....0..2..0..0..2....0..2..0..1..2....0..2..0..0..0

%e ..1..2..1..2..0....0..0..0..1..2....0..1..1..2..2....2..1..1..1..0

%K nonn,tabl

%O 1,1

%A _R. H. Hardin_, Dec 31 2014

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Last modified June 26 00:12 EDT 2022. Contains 354870 sequences. (Running on oeis4.)