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A186128 T(n,k)=Number of (n+1)X(k+1) binary arrays with every 2X2 subblock diagonal sum less antidiagonal sum equal to some horizontal or vertical neighbor 2X2 subblock diagonal sum less antidiagonal sum 10
0, 14, 14, 18, 38, 18, 50, 94, 94, 50, 74, 254, 262, 254, 74, 182, 682, 946, 946, 682, 182, 298, 1878, 2978, 4254, 2978, 1878, 298, 678, 5214, 10502, 17794, 17794, 10502, 5214, 678, 1186, 14606, 34678, 79782, 90054, 79782, 34678, 14606, 1186, 2566, 41138 (list; table; graph; refs; listen; history; text; internal format)
OFFSET

1,2

COMMENTS

Table starts

....0.....14......18.......50........74.........182..........298...........678

...14.....38......94......254.......682........1878.........5214.........14606

...18.....94.....262......946......2978.......10502........34678........120290

...50....254.....946.....4254.....17794.......79782.......350266.......1574348

...74....682....2978....17794.....90054......539962......2915982......17129792

..182...1878...10502....79782....539962.....4056794.....29491822.....220010616

..298...5214...34678...350266...2915982....29491822....264173146....2630528360

..678..14606..120290..1574348..17129792...220010616...2630528360...33067061342

.1186..41138..405274..7039308..95854320..1637583596..24515504568..411149162658

.2566.116350.1395998.31791832.556779864.12272724126.241032804442.5153688541776

LINKS

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

EXAMPLE

Some solutions for 4X3

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

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

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

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

CROSSREFS

Sequence in context: A128883 A010853 A291510 * A105707 A325602 A157427

Adjacent sequences:  A186125 A186126 A186127 * A186129 A186130 A186131

KEYWORD

nonn,tabl

AUTHOR

R. H. Hardin Feb 13 2011

STATUS

approved

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Last modified December 5 10:11 EST 2021. Contains 349543 sequences. (Running on oeis4.)