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A234658 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 4 (constant stress 1X1 tilings) 9
160, 728, 728, 3264, 2648, 3264, 15008, 9616, 9616, 15008, 67840, 37352, 28496, 37352, 67840, 315008, 144512, 94432, 94432, 144512, 315008, 1434624, 593048, 315024, 274520, 315024, 593048, 1434624, 6722048, 2414992, 1148176, 808160 (list; table; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

Table starts

.......160.......728......3264.....15008.....67840.....315008....1434624

.......728......2648......9616.....37352....144512.....593048....2414992

......3264......9616.....28496.....94432....315024....1148176....4196144

.....15008.....37352.....94432....274520....808160....2646344....8731840

.....67840....144512....315024....808160...2113072....6250544...18735792

....315008....593048...1148176...2646344...6250544...16899896...46510768

...1434624...2414992...4196144...8731840..18735792...46510768..118121744

...6722048..10359416..16491760..31384136..61854032..142026104..335161744

..30822400..43905728..64635984.113059808.205847920..438922928..966751344

.145614848.194994488.269420656.437774312.742330832.1476803288.3047922832

LINKS

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

FORMULA

Empirical for column k:

k=1: a(n) = 4*a(n-1) +44*a(n-2) -176*a(n-3) -480*a(n-4) +1920*a(n-5)

k=2: [order 15]

k=3: [order 21]

k=4: [order 23]

EXAMPLE

Some solutions for n=3 k=4

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

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

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

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

CROSSREFS

Sequence in context: A278122 A233917 A233910 * A234651 A234898 A234891

Adjacent sequences:  A234655 A234656 A234657 * A234659 A234660 A234661

KEYWORD

nonn,tabl

AUTHOR

R. H. Hardin, Dec 29 2013

STATUS

approved

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Last modified October 23 03:42 EDT 2021. Contains 348211 sequences. (Running on oeis4.)