A254422 - OEIS

A254422

T(n,k)=Number of (n+1)X(k+1) 0..2 arrays with every 2X2 subblock diagonal maximum minus antidiagonal maximum nondecreasing horizontally, vertically and ne-to-sw antidiagonally

81, 470, 470, 2180, 3279, 2180, 9623, 25589, 26783, 9623, 42669, 229652, 423141, 238639, 42669, 192393, 2128339, 6880359, 6683795, 2182689, 192393, 876277, 19879926, 109896298, 199339608, 106821947, 20251190, 876277, 4010555

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OFFSET

1,1

COMMENTS

Table starts

.....81.......470........2180..........9623...........42669.............192393

....470......3279.......25589........229652.........2128339...........19879926

...2180.....26783......423141.......6880359.......109896298.........1753478415

...9623....238639.....6683795.....199339608......5865501284.......176249310185

..42669...2182689...106821947....5909079229....310310891535.....16806656467840

.192393..20251190..1701224592..176730239629..16692762023274...1673449182032706

.876277.189197280.27127649888.5319044439319.894001153490556.164418838931876650

LINKS

R. H. Hardin, Table of n, a(n) for n = 1..180

FORMULA

Empirical for column k:

k=1: [linear recurrence of order 6] for n>13

k=2: [order 11] for n>17

k=3: [order 25] for n>30

k=4: [order 60] for n>66

Empirical for row n:

n=1: [same recurrence of order 6] for n>13

n=2: [same order 11] for n>18

n=3: [same order 25] for n>32

n=4: [order 59] for n>67

EXAMPLE

Some solutions for n=2 k=4

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

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

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

CROSSREFS

Column 1 and row 1 are A253517

Sequence in context: A236349 A334036 A253524 * A253517 A237683 A236640

Adjacent sequences: A254419 A254420 A254421 * A254423 A254424 A254425

KEYWORD

nonn,tabl

AUTHOR

R. H. Hardin, Jan 30 2015

STATUS

approved