A235421 T(n,k)=Number of (n+1)X(k+1) 0..2 arrays with 2X2 subblock sum of squares lexicographically nondecreasing rowwise and nonincreasing columnwise

81, 432, 432, 2304, 5022, 2304, 9504, 60879, 60231, 9504, 39204, 543946, 1607343, 533868, 39204, 138402, 4895505, 33361964, 33411901, 4740889, 138402, 488601, 35230388, 681329430, 1782209164, 692896087, 33788761, 488601, 1553877

Offset

1,1

Comments

Table starts

.......81........432..........2304............9504............39204

......432.......5022.........60879..........543946..........4895505

.....2304......60231.......1607343........33361964........681329430

.....9504.....533868......33411901......1782209164......93548701107

....39204....4740889.....692896087.....94717997107...12393951158079

...138402...33788761...11682620720...4225274664375.1468687449529994

...488601..241566875..200551110843.190528055285203

..1553877.1459008798.2871917717259

..4941729.8848965583

.14587326

Links

R. H. Hardin, Table of n, a(n) for n = 1..60

Formula

Empirical for column 1 and row 1:

[same linear recurrence of order 26]

Example

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

Crossrefs

Sequence in context: A236704 A236604 A236698 * A236282 A235417 A237391

Adjacent sequences: A235418 A235419 A235420 * A235422 A235423 A235424

Keyword

nonn,tabl

Author

R. H. Hardin, Jan 10 2014

Status

approved