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A250973 T(n,k)=Number of (n+1)X(k+1) 0..1 arrays with no 2X2 subblock having the sum of its diagonal elements less than the absolute difference of its antidiagonal elements 8
14, 49, 49, 172, 308, 172, 604, 1945, 1945, 604, 2121, 12281, 22048, 12281, 2121, 7448, 77537, 249921, 249921, 77537, 7448, 26154, 489543, 2833397, 5089900, 2833397, 489543, 26154, 91841, 3090834, 32124018, 103684186, 103684186, 32124018 (list; table; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

Table starts

....14.......49........172..........604............2121..............7448

....49......308.......1945........12281...........77537............489543

...172.....1945......22048.......249921.........2833397..........32124018

...604....12281.....249921......5089900.......103684186........2112130109

..2121....77537....2833397....103684186......3794909318......138900769559

..7448...489543...32124018...2112130109....138900769559.....9135168475316

.26154..3090834..364210219..43025963570...5084110136919...600808386292820

.91841.19514643.4129278507.876479703950.186091438754901.39514486757351514

LINKS

R. H. Hardin, Table of n, a(n) for n = 1..420

FORMULA

Empirical for column k:

k=1: a(n) = 4*a(n-1) -2*a(n-2) +a(n-3)

k=2: a(n) = 8*a(n-1) -13*a(n-2) +17*a(n-3) -14*a(n-4) +3*a(n-5)

k=3: [order 9]

k=4: [order 17]

k=5: [order 31]

k=6: [order 57] for n>58

EXAMPLE

Some solutions for n=3 k=4

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

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

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

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

CROSSREFS

Column 1 is A010904

Sequence in context: A121202 A345691 A251228 * A039340 A043163 A043943

Adjacent sequences:  A250970 A250971 A250972 * A250974 A250975 A250976

KEYWORD

nonn,tabl

AUTHOR

R. H. Hardin, Nov 29 2014

STATUS

approved

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Last modified January 22 05:19 EST 2022. Contains 350481 sequences. (Running on oeis4.)