A253871 - OEIS

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

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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