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A183811 T(n,k)=1/16 the number of (n+1)X(k+1) binary arrays with no 2X2 subblock being a reflection across the shared element pair of any horizontal or vertical neighbor 9
1, 3, 3, 9, 13, 9, 27, 55, 55, 27, 81, 237, 322, 237, 81, 243, 1011, 1953, 1953, 1011, 243, 729, 4341, 11619, 16953, 11619, 4341, 729, 2187, 18567, 70044, 143191, 143191, 70044, 18567, 2187, 6561, 79605, 418925, 1232595, 1701473, 1232595, 418925, 79605 (list; table; graph; refs; listen; history; text; internal format)
OFFSET

1,2

COMMENTS

Table starts

.....1.......3........9.........27...........81............243..............729

.....3......13.......55........237.........1011...........4341............18567

.....9......55......322.......1953........11619..........70044...........418925

....27.....237.....1953......16953.......143191........1232595.........10494847

....81....1011....11619.....143191......1701473.......20745787........249227639

...243....4341....70044....1232595.....20745787......360549804.......6153770375

...729...18567...418925...10494847....249227639.....6153770375.....148654946039

..2187...79605..2518389...89998565...3023598287...106324742825....3645190453457

..6561..340803.15091626..768481445..36466869997..1823862776230...88602958444787

.19683.1460349.90619253.6579905737.441485256003.31435034643715.2166253373649057

LINKS

R. H. Hardin, Table of n, a(n) for n = 1..143

EXAMPLE

Some solutions with upper left block zero for 4X3

..0..0..1....0..0..0....0..0..0....0..0..1....0..0..0....0..0..1....0..0..1

..0..0..1....0..0..1....0..0..1....0..0..0....0..0..1....0..0..1....0..0..1

..0..1..0....1..1..1....1..1..0....0..1..1....1..0..1....1..0..0....1..0..0

..1..1..0....0..1..1....0..1..0....1..1..0....0..1..1....1..1..0....1..1..1

CROSSREFS

Column 1 is A000244(n-1)

Sequence in context: A066314 A083336 A225436 * A303640 A091328 A138383

Adjacent sequences:  A183808 A183809 A183810 * A183812 A183813 A183814

KEYWORD

nonn,tabl

AUTHOR

R. H. Hardin Jan 07 2011

STATUS

approved

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Last modified June 15 16:13 EDT 2019. Contains 324142 sequences. (Running on oeis4.)