A250676 T(n,k)=Number of (n+1)X(k+1) 0..3 arrays with nondecreasing x(i,j)+x(i,j-1) in the i direction and nondecreasing absolute value of x(i,j)-x(i-1,j) in the j direction.

104, 669, 520, 3927, 5154, 2512, 22119, 42422, 34630, 11736, 120233, 329226, 388916, 210158, 53032, 637948, 2406972, 4008211, 3107446, 1185860, 233300, 3321772, 16949262, 38224684, 41503790, 22408818, 6325144, 1005121, 17052553, 115965426

Offset: 1

Author

R. H. Hardin, Nov 26 2014

Keywords

• nonn
• tabl

Comments

Table starts

......104.......669........3927.........22119.........120233...........637948

......520......5154.......42422........329226........2406972.........16949262

.....2512.....34630......388916.......4008211.......38224684........345255872

....11736....210158.....3107446......41503790......505108522.......5726252240

....53032...1185860....22408818.....379890972.....5803025694......81461365899

...233300...6325144...148821788....3135539502....59036115470....1009432228498

..1005121..32230991...923242475...23739860017...542694735983...11161659240791

..4260728.158164928..5408914174..167047195040..4574838198834..111900180498102

.17835379.752162284.30183160828.1103768366168.35784917880517.1030597712205895

Examples

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

Links

• R. H. Hardin, Table of n, a(n) for n = 1..105

Crossrefs

Rows 1-7 are A250677 - A250683.

Formula

Empirical for column k:

k=1: [linear recurrence of order 7] for n>11

k=2: [order 20] for n>28

k=3: [order 35] for n>47

k=4: [order 47] for n>63

Empirical for row n:

n=1: [linear recurrence of order 7]

n=2: [order 20]

n=3: [order 58]