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A235107 T(n,k)=Number of (n+1)X(k+1) 0..6 arrays with every 2X2 subblock having its diagonal sum differing from its antidiagonal sum by 4, with no adjacent elements equal (constant stress tilted 1X1 tilings) 9
154, 670, 670, 2900, 2498, 2900, 12578, 9328, 9328, 12578, 54530, 35354, 30312, 35354, 54530, 236496, 135254, 101464, 101464, 135254, 236496, 1025770, 523532, 345280, 304746, 345280, 523532, 1025770, 4449942, 2047890, 1201872, 937034 (list; table; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

Table starts

......154.......670......2900.....12578.....54530.....236496....1025770

......670......2498......9328.....35354....135254.....523532....2047890

.....2900......9328.....30312....101464....345280....1201872....4256548

....12578.....35354....101464....304746....937034....2978124....9680994

....54530....135254....345280....937034...2613410....7614452...22754394

...236496....523532...1201872...2978124...7614452...20552136...57035088

..1025770...2047890...4256548...9680994..22754394...57035088..147069470

..4449942...8097130..15381300..32349918..70442910..165182704..398750942

.19307284..32339728..56526280.110399304.223243440..490588960.1109052788

.83782730.130423938.211590104.385970050.729220586.1509762708.3214407394

LINKS

R. H. Hardin, Table of n, a(n) for n = 1..178

FORMULA

Empirical for column k:

k=1: a(n) = 7*a(n-1) -2*a(n-2) -47*a(n-3) +3*a(n-4) +84*a(n-5) +36*a(n-6)

k=2: [order 19]

k=3: [order 62]

EXAMPLE

Some solutions for n=3 k=4

..3..1..0..1..3....4..6..3..2..4....1..4..5..2..0....1..6..4..1..3

..6..0..3..0..6....6..4..5..0..6....6..5..2..3..5....0..1..3..4..2

..3..1..0..1..3....3..5..2..1..3....5..0..1..6..4....1..6..4..1..3

..4..6..1..6..4....4..2..3..6..4....6..5..2..3..5....0..1..3..4..2

CROSSREFS

Sequence in context: A256024 A239564 A250626 * A235100 A230804 A200552

Adjacent sequences:  A235104 A235105 A235106 * A235108 A235109 A235110

KEYWORD

nonn,tabl

AUTHOR

R. H. Hardin, Jan 03 2014

STATUS

approved

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Last modified December 1 12:50 EST 2020. Contains 338833 sequences. (Running on oeis4.)