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R. H. Hardin, <a href="/A253698/b253698.txt">Table of n, a(n) for n = 1..1289</a>

allocated for R. H. Hardin

T(n,k)=Number of (n+1)X(k+1) 0..1 arrays with every 2X2 subblock ne-sw antidiagonal difference unequal to its neighbors horizontally and nw+se diagonal sum unequal to its neighbors vertically

16, 40, 40, 104, 76, 104, 264, 150, 146, 264, 680, 282, 234, 304, 680, 1736, 540, 356, 480, 602, 1736, 4456, 1026, 618, 700, 878, 1182, 4456, 11400, 1984, 968, 992, 1120, 1472, 2416, 11400, 29224, 3782, 1608, 1262, 1632, 1638, 2982, 4772, 29224, 74824

1,1

Table starts

....16....40...104...264...680..1736..4456.11400.29224.74824.191720.491016

....40....76...150...282...540..1026..1984..3782..7270.13880..26644..51026

...104...146...234...356...618...968..1608..2558..4278..6854..11266..18192

...264...304...480...700...992..1262..1790..2538..4020..5990...8836..12394

...680...602...878..1120..1632..1914..2626..3598..5568..7834..11444..15184

..1736..1182..1472..1638..2386..3042..4010..5178..6934..8938..12212..16174

..4456..2416..2982..3136..4180..5030..6558..8846.12620.17170..22264..27490

.11400..4772..5282..4782..6552..7800.10428.14710.20260.27658..35292..45002

.29224..9652..9880..7926.10696.12646.16796.22964.30864.42644..55562..75580

.74824.19152.18552.14462.18236.20932.26124.36540.51630.74332..93964.121868

Empirical for column k:

k=1: a(n) = a(n-1) +4*a(n-2)

k=2: [order 16]

k=3: [order 19] for n>21

k=4: [order 22] for n>24

k=5: [order 26] for n>31

k=6: [order 28] for n>33

k=7: [order 32] for n>38

Empirical for row n:

n=1: a(n) = a(n-1) +4*a(n-2)

n=2: [order 16]

n=3: [order 19] for n>21

n=4: [order 19] for n>26

n=5: [order 27] for n>34

n=6: [order 21] for n>31

n=7: [order 25] for n>37

Some solutions for n=4 k=4

..0..1..1..1..0....1..1..0..1..1....1..0..0..0..1....0..1..0..1..1

..1..0..1..1..0....0..1..0..1..1....0..1..0..0..0....0..0..0..1..0

..1..1..0..0..1....0..1..1..0..0....1..1..0..1..1....0..1..0..0..1

..0..0..1..0..1....1..0..0..1..0....1..1..1..0..1....0..0..1..1..1

..1..0..1..0..0....1..0..0..1..0....1..0..0..0..1....1..1..0..1..1

Column 1 and row 1 are A185761

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nonn,tabl

R. H. Hardin, Jan 09 2015

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