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

1,1

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

Links

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

Formula

Empirical for column k:

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

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

Example

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

Crossrefs

Column 1 is A253307

Sequence in context: A236663 A236645 A253314 * A253731 A236658 A236641

Adjacent sequences: A253659 A253660 A253661 * A253663 A253664 A253665

Keyword

nonn,tabl

Author

R. H. Hardin, Jan 07 2015

Status

approved