A251359 T(n,k)=Number of (n+1)X(k+1) 0..3 arrays with no 2X2 subblock having its maximum diagonal element less than the absolute difference of its antidiagonal elements

216, 2920, 2920, 39594, 137642, 39594, 536886, 6505867, 6505867, 536886, 7279536, 307396791, 1069722970, 307396791, 7279536, 98701641, 14522811996, 175856353691, 175856353691, 14522811996, 98701641, 1338276196, 686136478104

Offset

1,1

Comments

Table starts

.....216........2920..........39594............536886...............7279536

....2920......137642........6505867.........307396791...........14522811996

...39594.....6505867.....1069722970......175856353691........28911058486029

..536886...307396791...175856353691...100642035373984.....57599526297754843

.7279536.14522811996.28911058486029.57599526297754843.114759773653630134486

Links

R. H. Hardin, Table of n, a(n) for n = 1..112

Formula

Empirical for column k:

k=1: [linear recurrence of order 7]

k=2: [order 27]

k=3: [order 96]

Example

Some solutions for n=2 k=4
..0..0..2..3..2....0..0..0..1..2....0..0..0..0..2....0..0..0..2..1
..0..0..3..2..1....0..0..3..2..0....0..0..1..3..3....0..0..3..3..2
..0..0..3..3..1....0..0..3..1..2....0..0..2..1..0....0..0..3..1..2

Crossrefs

Sequence in context: A017139 A249005 A249470 * A251352 A027364 A017235

Adjacent sequences: A251356 A251357 A251358 * A251360 A251361 A251362

Keyword

nonn,tabl

Author

R. H. Hardin, Dec 01 2014

Status

approved