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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 7
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 (list; table; graph; refs; listen; history; text; internal format)
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

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Last modified September 25 03:12 EDT 2022. Contains 356953 sequences. (Running on oeis4.)