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A234823 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 6 (constant stress 1X1 tilings) 9
168, 686, 686, 2380, 2220, 2380, 9716, 6282, 6282, 9716, 34092, 22098, 15224, 22098, 34092, 139112, 68570, 47136, 47136, 68570, 139112, 493348, 252486, 131704, 129384, 131704, 252486, 493348, 2011808, 828354, 443220, 325424, 325424, 443220, 828354 (list; table; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

Table starts

......168......686.....2380.....9716.....34092....139112....493348....2011808

......686.....2220.....6282....22098.....68570....252486....828354....3136350

.....2380.....6282....15224....47136....131704....443220...1352816....4791948

.....9716....22098....47136...129384....325424....994812...2794776....9151956

....34092....68570...131704...325424....747192...2099300...5474032...16726940

...139112...252486...443220...994812...2099300...5441232..13185612...37597992

...493348...828354..1352816..2794776...5474032..13185612..29871848...79958916

..2011808..3136350..4791948..9151956..16726940..37597992..79958916..201644928

..7205628.10660586.15484360.27722816..47728392.100759412.202105408..481962668

.29360336.41107950.56779452.95289828.154893260.307659576.583797684.1320262800

LINKS

R. H. Hardin, Table of n, a(n) for n = 1..197

FORMULA

Empirical for column k (the k=2..6 recurrence also works for column 1; apparently all rows and columns satisfy the same order 23 recurrence):

k=1: [linear recurrence of order 7]

k=2..6: [same recurrence of order 23]

EXAMPLE

Some solutions for n=4 k=4

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

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

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

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

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

CROSSREFS

Sequence in context: A234738 A234731 A157998 * A234816 A245868 A251461

Adjacent sequences:  A234820 A234821 A234822 * A234824 A234825 A234826

KEYWORD

nonn,tabl

AUTHOR

R. H. Hardin, Dec 31 2013

STATUS

approved

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Last modified January 22 21:47 EST 2022. Contains 350504 sequences. (Running on oeis4.)