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A251491 T(n,k)=Number of (n+1)X(k+1) 0..3 arrays with no 2X2 subblock having the sum of its diagonal elements less than the minimum of its antidiagonal elements 8
236, 3456, 3456, 50576, 186304, 50576, 740096, 10046784, 10046784, 740096, 10830016, 541815424, 1996407424, 541815424, 10830016, 158478336, 29219848960, 396684056960, 396684056960, 29219848960, 158478336, 2319053056 (list; table; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

Table starts

......236........3456..........50576.............740096..............10830016

.....3456......186304.......10046784..........541815424...........29219848960

....50576....10046784.....1996407424.......396684056960........78819515764397

...740096...541815424...396684056960....290403118046224....212595602301764864

.10830016.29219848960.78819515764397.212595602301764864.573419887491673696912

LINKS

R. H. Hardin, Table of n, a(n) for n = 1..144

FORMULA

Empirical for column k:

k=1: a(n) = 16*a(n-1) -20*a(n-2)

k=2: [order 7]

k=3: [order 16]

k=4: [order 48]

EXAMPLE

Some solutions for n=2 k=4

..0..0..0..2..3....0..0..1..1..0....0..0..2..2..3....0..0..2..1..0

..0..3..0..0..1....0..0..0..2..0....0..0..1..0..0....0..0..0..3..0

..0..0..3..3..3....0..0..3..2..0....0..0..0..2..0....0..0..2..2..0

CROSSREFS

Sequence in context: A259639 A334649 A233983 * A251484 A247475 A233166

Adjacent sequences:  A251488 A251489 A251490 * A251492 A251493 A251494

KEYWORD

nonn,tabl

AUTHOR

R. H. Hardin, Dec 03 2014

STATUS

approved

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Last modified October 17 12:08 EDT 2021. Contains 348048 sequences. (Running on oeis4.)