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A234227 T(n,k)=Number of (n+1)X(k+1) 0..4 arrays with every 2X2 subblock having its diagonal sum differing from its antidiagonal sum by 3 (constant stress 1X1 tilings) 9
104, 436, 436, 1824, 1560, 1824, 7696, 5612, 5612, 7696, 32384, 20724, 17448, 20724, 32384, 137536, 76972, 56936, 56936, 76972, 137536, 582144, 293316, 188040, 167688, 188040, 293316, 582144, 2488576, 1123724, 648536, 503272, 503272, 648536 (list; table; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

Table starts

......104......436......1824......7696.....32384....137536.....582144

......436.....1560......5612.....20724.....76972....293316....1123724

.....1824.....5612.....17448.....56936....188040....648536....2264904

.....7696....20724.....56936....167688....503272...1597896....5162984

....32384....76972....188040....503272...1379816...4055128...12178344

...137536...293316....648536...1597896...4055128..11145960...31418264

...582144..1123724...2264904...5162984..12178344..31418264...83324136

..2488576..4410276...8215256..17479656..38671960..94267656..236748824

.10594304.17381356..30142344..60126376.125308904.289507096..690049704

.45577216.70026180.114224792.215032104.425135512.935746056.2128516184

LINKS

R. H. Hardin, Table of n, a(n) for n = 1..179

FORMULA

Empirical for column k (the k=4 recurrence also works for k=1..3; apparently the same order 16 recurrence works for all rows and columns):

k=1: a(n) = 4*a(n-1) +20*a(n-2) -80*a(n-3)

k=2: a(n) = 7*a(n-1) +20*a(n-2) -224*a(n-3) +144*a(n-4) +1680*a(n-5) -2880*a(n-6)

k=3: [order 11]

k=4: [order 16]

k=5: [same order 16]

k=6: [same order 16]

k=7: [same order 16]

EXAMPLE

Some solutions for n=4 k=4

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

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

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

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

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

CROSSREFS

Sequence in context: A220063 A135441 A188150 * A234220 A234208 A234201

Adjacent sequences:  A234224 A234225 A234226 * A234228 A234229 A234230

KEYWORD

nonn,tabl

AUTHOR

R. H. Hardin, Dec 21 2013

STATUS

approved

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Last modified December 6 13:24 EST 2021. Contains 349563 sequences. (Running on oeis4.)