A236282 T(n,k)=Number of (n+1)X(k+1) 0..2 arrays with 2X2 subblock sum of squares lexicographically nondecreasing rowwise and columnwise

81, 432, 432, 2304, 5805, 2304, 9504, 87450, 87450, 9504, 39204, 901317, 4297035, 901317, 39204, 138402, 9293996, 134940646, 134940646, 9293996, 138402, 488601, 73777097, 4211459815, 13055877546, 4211459815, 73777097, 488601, 1553877

Offset

1,1

Comments

Table starts

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

......432........5805..........87450...........901317...........9293996

.....2304.......87450........4297035........134940646........4211459815

.....9504......901317......134940646......13055877546.....1257559565027

....39204.....9293996.....4211459815....1257559565027...374969850504444

...138402....73777097....95929739101...86958471603770.79511653034814238

...488601...583531732..2162880693927.5933159964415314

..1553877..3814287681.38763321249354

..4941729.24858329516

.14587326

Links

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

Formula

Empirical for column k:

k=1: [linear recurrence of order 26]

Example

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

Crossrefs

Column 1 is A235417

Sequence in context: A236604 A236698 A235421 * A235417 A237391 A237385

Adjacent sequences: A236279 A236280 A236281 * A236283 A236284 A236285

Keyword

nonn,tabl

Author

R. H. Hardin, Jan 21 2014

Status

approved