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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 14
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 (list; table; graph; refs; listen; history; text; internal format)
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
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
KEYWORD
nonn,tabl
AUTHOR
R. H. Hardin, Jan 30 2015
STATUS
approved

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Last modified April 23 18:16 EDT 2024. Contains 371916 sequences. (Running on oeis4.)