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A251249 T(n,k)=Number of (n+1)X(k+1) 0..2 arrays with no 2X2 subblock having the sum of its diagonal elements less than the minimum of its antidiagonal elements 8
75, 621, 621, 5139, 14265, 5139, 42525, 327753, 327753, 42525, 351891, 7530633, 20904689, 7530633, 351891, 2911869, 173028393, 1333268433, 1333268433, 173028393, 2911869, 24095475, 3975606801, 85032883789, 236035946835 (list; table; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

Table starts

......75........621..........5139............42525...............351891

.....621......14265........327753..........7530633............173028393

....5139.....327753......20904689.......1333268433..........85032883789

...42525....7530633....1333268433.....236035946835.......41786532918513

..351891..173028393...85032883789...41786532918513....20534495636679387

.2911869.3975606801.5423196612609.7397658897202791.10090935221593972941

LINKS

R. H. Hardin, Table of n, a(n) for n = 1..264

FORMULA

Empirical for column k:

k=1: a(n) = 9*a(n-1) -6*a(n-2)

k=2: a(n) = 27*a(n-1) -94*a(n-2) +36*a(n-3) -4*a(n-4) -36*a(n-5)

k=3: [order 10]

k=4: [order 24]

k=5: [order 51]

EXAMPLE

Some solutions for n=2 k=4

..0..0..0..0..0....0..0..0..2..2....0..0..0..2..0....0..0..0..2..0

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

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

CROSSREFS

Column 1 is A190983(n+2)

Sequence in context: A129625 A133382 A199901 * A264673 A320618 A218094

Adjacent sequences: A251246 A251247 A251248 * A251250 A251251 A251252

KEYWORD

nonn,tabl

AUTHOR

R. H. Hardin, Dec 01 2014

STATUS

approved

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Last modified January 27 21:49 EST 2023. Contains 359849 sequences. (Running on oeis4.)