A253662 T(n,k)=Number of (n+1)X(k+1) 0..2 arrays with every 2X2 subblock diagonal maximum minus antidiagonal maximum unequal to its neighbors horizontally, vertically and nw-se diagonally.

81, 518, 518, 3550, 3318, 3550, 23524, 25062, 25062, 23524, 157476, 181308, 241548, 181308, 157476, 1051870, 1284808, 2113406, 2113406, 1284808, 1051870, 7027770, 9172142, 17719343, 21509980, 17719343, 9172142, 7027770, 46953514, 65613880

Offset: 1

Author

R. H. Hardin, Jan 07 2015

Keywords

• nonn
• tabl

Comments

Table starts

.........81.........518.........3550..........23524..........157476

........518........3318........25062.........181308.........1284808

.......3550.......25062.......241548........2113406........17719343

......23524......181308......2113406.......21509980.......213776286

.....157476.....1284808.....17719343......213776286......2673402320

....1051870.....9172142....152352910.....2149355346.....32368598122

....7027770....65613880...1302707432....21597168872....395496194486

...46953514...467877898..11094507660...212331840928...4770936979106

..313711862..3342085566..94827318012..2118953225888..57860771981049

.2095963398.23863144636.808751503976.21018774727072.697085769177592

Examples

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

Links

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

Crossrefs

Column 1 is A253307

Formula

Empirical for column k:

k=1: [linear recurrence of order 10] for n>11

k=2: [order 76] for n>80