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A251065 T(n,k)=Number of (n+1)X(k+1) 0..2 arrays with no 2X2 subblock having x11-x00 less than x10-x01 14
50, 222, 336, 867, 2740, 2167, 3123, 17129, 31895, 14180, 10660, 89429, 320950, 379440, 92429, 35064, 410718, 2482824, 6182747, 4499219, 603249, 112373, 1716324, 15857764, 71431719, 119032248, 53420941, 3935721, 353517, 6678657, 87634164 (list; table; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

Table starts

......50.......222.........867..........3123..........10660...........35064

.....336......2740.......17129.........89429.........410718.........1716324

....2167.....31895......320950.......2482824.......15857764........87634164

...14180....379440.....6182747......71431719......641508138......4755605792

...92429...4499219...119032248....2062530658....26192388204....262314968432

..603249..53420941..2295692500...59730054958..1074828860950..14586457826568

.3935721.634161915.44280784440.1731036678270.44184817939580.813777827212550

LINKS

R. H. Hardin, Table of n, a(n) for n = 1..180

FORMULA

Empirical for column k:

k=1: a(n) = 6*a(n-1) +7*a(n-2) -23*a(n-3) -4*a(n-4) +12*a(n-5)

k=2: [order 11]

k=3: [order 39]

Empirical for row n:

n=1: a(n) = 9*a(n-1) -31*a(n-2) +51*a(n-3) -40*a(n-4) +12*a(n-5)

n=2: [order 12]

n=3: [order 21]

n=4: [order 27]

n=5: [order 33]

n=6: [order 39]

EXAMPLE

Some solutions for n=2 k=4

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

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

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

CROSSREFS

Column 1 is A184556

Row 1 is A222993(n+1)

Sequence in context: A179755 A186843 A250527 * A231087 A235956 A197971

Adjacent sequences:  A251062 A251063 A251064 * A251066 A251067 A251068

KEYWORD

nonn,tabl

AUTHOR

R. H. Hardin, Nov 29 2014

STATUS

approved

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Last modified December 6 12:38 EST 2021. Contains 349563 sequences. (Running on oeis4.)