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A253468 T(n,k)=Number of (n+1)X(k+1) 0..2 arrays with every 2X2 subblock diagonal maximum minus antidiagonal minimum unequal to its neighbors horizontally, vertically, diagonally and antidiagonally 9
81, 540, 540, 3640, 800, 3640, 24208, 1400, 1400, 24208, 162016, 3072, 2000, 3072, 162016, 1081504, 8536, 2600, 2600, 8536, 1081504, 7227096, 15888, 5000, 3744, 5000, 15888, 7227096, 48272160, 44464, 7784, 7496, 7496, 7784, 44464, 48272160 (list; table; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

Table starts

.........81....540...3640..24208.162016.1081504.7227096.48272160.322493040

........540....800...1400...3072...8536...15888...44464....94416....273808

.......3640...1400...2000...2600...5000....7784...17000....28520.....65000

......24208...3072...2600...3744...7496....8272...15680....31824.....94016

.....162016...8536...5000...7496...8000...12680...20000....33416.....68000

....1081504..15888...7784...8272..12680...12800...20864....36352.....99200

....7227096..44464..17000..15680..20000...20864...32000....41600.....80000

...48272160..94416..28520..31824..33416...36352...41600....59904....119936

..322493040.273808..65000..94016..68000...99200...80000...119936....128000

.2154281664.562320.111464.104272.116360..108800..124544...132352....202880

LINKS

R. H. Hardin, Table of n, a(n) for n = 1..3360

FORMULA

Empirical for diagonal and column k:

diagonal: a(n) = 16*a(n-4) for n>5

k=1: a(n) = 2*a(n-1) +27*a(n-2) +30*a(n-3) -7*a(n-4) -8*a(n-5) -75*a(n-6) -48*a(n-7) -16*a(n-8)

k=2: a(n) = 5*a(n-2) +8*a(n-4) -12*a(n-6) for n>7

k=3: a(n) = 5*a(n-2) -4*a(n-4) for n>6

k=4: a(n) = a(n-2) +16*a(n-4) -16*a(n-6) for n>8

k=5: a(n) = 5*a(n-2) -4*a(n-4) for n>6

k=6: a(n) = a(n-2) +16*a(n-4) -16*a(n-6) for n>8

k=7: a(n) = 5*a(n-2) -4*a(n-4) for n>6

EXAMPLE

Some solutions for n=4 k=4

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

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

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

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

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

CROSSREFS

Sequence in context: A235784 A235565 A235560 * A253462 A206512 A235833

Adjacent sequences:  A253465 A253466 A253467 * A253469 A253470 A253471

KEYWORD

nonn,tabl

AUTHOR

R. H. Hardin, Jan 01 2015

STATUS

approved

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Last modified October 25 19:28 EDT 2020. Contains 338012 sequences. (Running on oeis4.)