A250620 T(n,k)=Number of (n+1)X(k+1) 0..2 arrays with nondecreasing maximum of every two consecutive values in every row and column

81, 484, 484, 2704, 6166, 2704, 13456, 71610, 71610, 13456, 64009, 712806, 1690656, 712806, 64009, 290521, 6676967, 32944614, 32944614, 6676967, 290521, 1283689, 58739370, 595652178, 1223112064, 595652178, 58739370, 1283689, 5541316

Offset

1,1

Comments

Table starts

.......81.........484...........2704.............13456................64009

......484........6166..........71610............712806..............6676967

.....2704.......71610........1690656..........32944614............595652178

....13456......712806.......32944614........1223112064..........41645945389

....64009.....6676967......595652178.......41645945389........2643367969909

...290521....58739370.....9955305702.....1297010595743......152027338842125

..1283689...498574034...159191945604....38406061258495.....8269611194424492

..5541316..4101893438..2447786874761..1087877705486708...428355037265846415

.23541904.33038787862.36658965039940.29903210113757561.21466834599667321402

Links

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

Formula

Empirical for column k:

k=1: [linear recurrence of order 13]

k=2: [order 39]

Example

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

Crossrefs

Sequence in context: A205286 A253407 A253400 * A237082 A236651 A295018

Adjacent sequences: A250617 A250618 A250619 * A250621 A250622 A250623

Keyword

nonn,tabl

Author

R. H. Hardin, Nov 26 2014

Status

approved