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A253314 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, diagonally and antidiagonally 9
81, 518, 518, 3550, 1752, 3550, 23524, 10064, 10064, 23524, 157476, 43220, 64560, 43220, 157476, 1051870, 214676, 266074, 266074, 214676, 1051870, 7027770, 1053094, 1547188, 516928, 1547188, 1053094, 7027770, 46953514, 5067576, 8858020 (list; table; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

Table starts

.........81.......518........3550......23524......157476....1051870

........518......1752.......10064......43220......214676....1053094

.......3550.....10064.......64560.....266074.....1547188....8858020

......23524.....43220......266074.....516928.....2643738....6728458

.....157476....214676.....1547188....2643738....16534784...53883500

....1051870...1053094.....8858020....6728458....53883500...45899840

....7027770...5067576....51974842...30117394...300393602..352580820

...46953514..24964956...316785048...99695754..1497743060..411726542

..313711862.121517288..1889816848..410717008..8035298482.2447644466

.2095963398.593800326.11520937494.1591420928.45266774466.4549989670

LINKS

R. H. Hardin, Table of n, a(n) for n = 1..480

FORMULA

Empirical for column k:

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

k=2: [order 39] for n>41

k=3: [order 49] for n>55

k=4: [order 62] for n>73

k=5: [order 51] for n>69

k=6: [order 50] for n>64

k=7: [order 51] for n>64

EXAMPLE

Some solutions for n=3 k=4

..0..0..0..0..2....0..2..0..0..1....1..0..1..1..0....1..2..0..0..0

..0..1..0..1..1....0..1..1..0..1....1..0..0..2..0....0..0..1..0..0

..2..0..2..0..1....2..0..0..2..0....0..0..2..0..1....1..2..0..0..2

..1..0..1..0..0....0..1..2..1..0....2..0..1..2..2....1..0..0..0..1

CROSSREFS

Sequence in context: A183428 A236663 A236645 * A253662 A253731 A236658

Adjacent sequences:  A253311 A253312 A253313 * A253315 A253316 A253317

KEYWORD

nonn,tabl

AUTHOR

R. H. Hardin, Dec 30 2014

STATUS

approved

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Last modified October 7 12:03 EDT 2022. Contains 357271 sequences. (Running on oeis4.)