A253871 T(n,k)=Number of (n+2)X(k+2) 0..1 arrays with every 3X3 subblock diagonal maximum minus antidiagonal minimum nondecreasing horizontally, vertically and ne-to-sw antidiagonally

512, 3328, 3328, 20480, 31632, 20480, 119040, 288000, 296960, 119040, 679936, 2546432, 3939840, 2589968, 679936, 3825920, 22201600, 52394496, 50414592, 22729728, 3825920, 21426176, 192159408, 677982208, 1052857184, 659280384

Offset

1,1

Comments

Table starts

.......512.........3328..........20480...........119040.............679936

......3328........31632.........288000..........2546432...........22201600

.....20480.......296960........3939840.........52394496..........677982208

....119040......2589968.......50414592.......1052857184........20975776000

....679936.....22729728......659280384......21171373312.......633276761856

...3825920....195774608.....8536982016.....423305690976.....19275379654400

..21426176...1689797632...111370158592....8407169495552....580087707480832

.119525632..14500025360..1445588517376..166630395772512..17553685478957824

.665944064.124544611328.18809857917440.3301057791676672.528547039227200256

Links

R. H. Hardin, Table of n, a(n) for n = 1..288

Formula

Empirical for column k:

k=1: a(n) = 8*a(n-1) -7*a(n-2) -56*a(n-3) +120*a(n-4) -64*a(n-5)

k=2: [order 17]

k=3: [order 17] for n>18

k=4: [order 80] for n>85

Empirical for row n:

n=1: a(n) = 8*a(n-1) -7*a(n-2) -56*a(n-3) +120*a(n-4) -64*a(n-5)

n=2: [order 19]

n=3: [order 21]

n=4: [order 86] for n>93

Example

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

Crossrefs

Column 1 and row 1 are A253537

Sequence in context: A254491 A253863 A253856 * A253544 A253537 A254390

Adjacent sequences: A253868 A253869 A253870 * A253872 A253873 A253874

Keyword

nonn,tabl

Author

R. H. Hardin, Jan 17 2015

Status

approved