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A179618 T(n,k)=Half the number of (n+1)X(k+1) 0..2 arrays with every 2X2 subblock diagonal sum differing from its antidiagonal sum by more than 2 1
5, 11, 11, 21, 35, 21, 43, 93, 93, 43, 85, 269, 314, 269, 85, 171, 747, 1213, 1213, 747, 171, 341, 2115, 4375, 6427, 4375, 2115, 341, 683, 5933, 16334, 31387, 31387, 16334, 5933, 683, 1365, 16717, 59925, 159651, 202841, 159651, 59925, 16717, 1365, 2731 (list; table; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

T(n,k) apparently is also the number of ways to tile a (n+2)X(k+2) rectangle with 1X1 and 2X2 tiles

Table starts

....5.....11......21........43.........85.........171...........341

...11.....35......93.......269........747........2115..........5933

...21.....93.....314......1213.......4375.......16334.........59925

...43....269....1213......6427......31387......159651........795611

...85....747....4375.....31387.....202841.....1382259.......9167119

..171...2115...16334....159651....1382259....12727570.....113555791

..341...5933...59925....795611....9167119...113555791....1355115601

..683..16717..221799...4005785...61643709..1029574631...16484061769

.1365..47003..817280..20064827..411595537..9258357134..198549329897

.2731.132291.3018301.100764343.2758179839.83605623809.2403674442213

LINKS

R. H. Hardin, Table of n, a(n) for n = 1..839

EXAMPLE

Some solutions for 6X6

..0..2..0..2..0..2....0..1..0..2..1..2....0..2..0..2..0..2....0..1..0..2..0..1

..2..0..2..0..2..1....2..0..2..0..2..0....2..0..1..0..1..0....2..0..2..0..2..0

..0..2..0..2..0..2....1..2..1..2..0..2....0..2..0..2..0..2....0..2..0..2..0..2

..2..0..2..0..2..1....2..0..2..0..1..0....1..0..2..0..2..0....1..0..2..0..2..0

..0..2..0..2..0..2....0..2..0..2..0..2....0..2..0..2..0..2....0..2..1..2..1..2

..1..0..1..0..1..0....2..1..2..1..2..0....2..1..2..1..2..1....2..0..2..0..2..0

CROSSREFS

Diagonal is A063443(n+2)

Column 1 is A001045(n+3)

Column 2 is A054854(n+2)

Column 3 is A054855(n+2)

Column 4 is A063650(n+2)

Column 5 is A063651(n+2)

Column 6 is A063652(n+2)

Column 7 is A063653(n+2)

Column 8 is A063654(n+2)

Sequence in context: A181667 A060846 A113002 * A058197 A289464 A289580

Adjacent sequences:  A179615 A179616 A179617 * A179619 A179620 A179621

KEYWORD

nonn,tabl

AUTHOR

R. H. Hardin Jan 10 2011

STATUS

approved

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Last modified January 28 22:40 EST 2020. Contains 331328 sequences. (Running on oeis4.)