A251019 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 maximum of its antidiagonal elements

63, 423, 423, 2828, 6653, 2828, 18910, 105897, 105897, 18910, 126468, 1691169, 4006992, 1691169, 126468, 845838, 27018053, 151364054, 151364054, 27018053, 845838, 5657125, 431623476, 5710752444, 13508173078, 5710752444, 431623476

Offset

1,1

Comments

Table starts

......63........423..........2828............18910...............126468

.....423.......6653........105897..........1691169.............27018053

....2828.....105897.......4006992........151364054...........5710752444

...18910....1691169.....151364054......13508173078........1205414504630

..126468...27018053....5710752444....1205414504630......254604954671538

..845838..431623476..215399006284..107601568615993....53785005221582139

.5657125.6895174650.8124335802103.9606281958966442.11361245256068263101

Links

R. H. Hardin, Table of n, a(n) for n = 1..180

Formula

Empirical for column k:

k=1: a(n) = 9*a(n-1) -18*a(n-2) +18*a(n-3) -7*a(n-4) +a(n-5)

k=2: [order 14]

k=3: [order 34]

k=4: [order 92]

Example

Some solutions for n=2 k=4
..0..0..0..2..1....0..0..2..2..2....0..2..2..2..1....0..1..2..2..1
..0..2..2..2..1....0..0..2..0..0....0..2..0..2..1....0..2..2..2..0
..1..2..2..1..0....1..1..2..0..0....0..2..1..2..2....1..2..0..0..0

Crossrefs

Sequence in context: A038993 A068022 A131993 * A251012 A092050 A055817

Adjacent sequences: A251016 A251017 A251018 * A251020 A251021 A251022

Keyword

nonn,tabl

Author

R. H. Hardin, Nov 29 2014

Status

approved