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A235186 T(n,k)=Number of (n+1)X(k+1) 0..5 arrays with every 2X2 subblock having its diagonal sum differing from its antidiagonal sum by 5, with no adjacent elements equal (constant stress tilted 1X1 tilings) 9
72, 212, 212, 576, 560, 576, 1696, 1400, 1400, 1696, 4656, 3796, 3240, 3796, 4656, 13736, 9780, 8224, 8224, 9780, 13736, 38064, 27080, 19952, 19584, 19952, 27080, 38064, 112504, 71244, 52328, 45128, 45128, 52328, 71244, 112504, 314448, 200164 (list; table; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

Table starts

.....72.....212.....576....1696....4656....13736....38064...112504....314448

....212.....560....1400....3796....9780....27080....71244...200164....535384

....576....1400....3240....8224...19952....52328...131120...352000....903544

...1696....3796....8224...19584...45128...112432...270056...694680...1719360

...4656....9780...19952...45128...99096...236376...545768..1351904...3234336

..13736...27080...52328..112432..236376...540368..1204056..2877232...6679048

..38064...71244..131120..270056..545768..1204056..2598040..6019088..13595968

.112504..200164..352000..694680.1351904..2877232..6019088.13521264..29758464

.314448..535384..903544.1719360.3234336..6679048.13595968.29758464..64019304

.930968.1520236.2468016.4527576.8236464.16488928.32649376.69567168.146227600

LINKS

R. H. Hardin, Table of n, a(n) for n = 1..284

FORMULA

Empirical for column k (the k=4..7 recurrence works also for k=1..3; apparently all rows and columns satisfy the same order 27 recurrence):

k=1: a(n) = 16*a(n-2) -65*a(n-4) +14*a(n-6)

k=2: [order 18]

k=3: [order 26]

k=4..7: [same order 27 recurrence]

EXAMPLE

Some solutions for n=4 k=4

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

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

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

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

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

CROSSREFS

Sequence in context: A033693 A250786 A302886 * A235179 A204492 A204485

Adjacent sequences:  A235183 A235184 A235185 * A235187 A235188 A235189

KEYWORD

nonn,tabl

AUTHOR

R. H. Hardin, Jan 04 2014

STATUS

approved

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Last modified December 1 22:12 EST 2021. Contains 349435 sequences. (Running on oeis4.)