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A253456 T(n,k)=Number of (n+1)X(k+1) 0..2 arrays with every 2X2 subblock diagonal minus antidiagonal sum nondecreasing horizontally and vertically 9
81, 414, 414, 1388, 1975, 1388, 3639, 4782, 4782, 3639, 8501, 8554, 7782, 8554, 8501, 19701, 15220, 11147, 11147, 15220, 19701, 48293, 31630, 19254, 15730, 19254, 31630, 48293, 126357, 74324, 39463, 26831, 26831, 39463, 74324, 126357, 346997, 188438 (list; table; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

Table starts

.....81.....414....1388....3639....8501...19701...48293..126357...346997

....414....1975....4782....8554...15220...31630...74324..188438...502364

...1388....4782....7782...11147...19254...39463...89556..218326...561564

...3639....8554...11147...15730...26831...52912..114717..266911...656997

...8501...15220...19254...26831...44242...83003..170184..373130...864720

..19701...31630...39463...52912...83003..147332..285681..590963..1287225

..48293...74324...89556..114717..170184..285681..526430.1036512..2142374

.126357..188438..218326..266911..373130..590963.1036512.1956194..3881256

.346997..502364..561564..656997..864720.1287225.2142374.3881256..7444718

.982677.1387310.1505134.1694263.2104994.2936843.4611192.7988474.14828736

LINKS

R. H. Hardin, Table of n, a(n) for n = 1..364

FORMULA

Empirical for column k:

k=1: a(n) = 6*a(n-1) -11*a(n-2) +6*a(n-3) for n>10

k=2..9: a(n) = 6*a(n-1) -11*a(n-2) +6*a(n-3) for n>9

Empirical for column k:

k=1: a(n) = 400*3^(n-3) + 205*2^(n-1) + 2917 for n>7

k=2: a(n) = 529*3^(n-3) + 444*2^(n-1) + 3059 for n>6

k=3: a(n) = 529*3^(n-3) + 673*2^(n-1) + 3635 for n>6

k=4: a(n) = 529*3^(n-3) + 1039*2^(n-1) + 5372 for n>6

k=5: a(n) = 529*3^(n-3) + 1832*2^(n-1) + 10087 for n>6

k=6: a(n) = 529*3^(n-3) + 3431*2^(n-1) + 23248 for n>6

k=7: a(n) = 529*3^(n-3) + 6631*2^(n-1) + 59197 for n>6

k=8: a(n) = 529*3^(n-3) + 13031*2^(n-1) + 159679 for n>6

k=9: a(n) = 529*3^(n-3) + 25831*2^(n-1) + 446341 for n>6

EXAMPLE

Some solutions for n=4 k=4

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

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

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

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

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

CROSSREFS

Sequence in context: A237176 A102741 A253495 * A236155 A253449 A236148

Adjacent sequences:  A253453 A253454 A253455 * A253457 A253458 A253459

KEYWORD

nonn,tabl

AUTHOR

R. H. Hardin, Jan 01 2015

STATUS

approved

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Last modified August 3 19:17 EDT 2021. Contains 346441 sequences. (Running on oeis4.)