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

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

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