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A250676 T(n,k)=Number of (n+1)X(k+1) 0..3 arrays with nondecreasing x(i,j)+x(i,j-1) in the i direction and nondecreasing absolute value of x(i,j)-x(i-1,j) in the j direction 17

%I

%S 104,669,520,3927,5154,2512,22119,42422,34630,11736,120233,329226,

%T 388916,210158,53032,637948,2406972,4008211,3107446,1185860,233300,

%U 3321772,16949262,38224684,41503790,22408818,6325144,1005121,17052553,115965426

%N T(n,k)=Number of (n+1)X(k+1) 0..3 arrays with nondecreasing x(i,j)+x(i,j-1) in the i direction and nondecreasing absolute value of x(i,j)-x(i-1,j) in the j direction

%C Table starts

%C ......104.......669........3927.........22119.........120233...........637948

%C ......520......5154.......42422........329226........2406972.........16949262

%C .....2512.....34630......388916.......4008211.......38224684........345255872

%C ....11736....210158.....3107446......41503790......505108522.......5726252240

%C ....53032...1185860....22408818.....379890972.....5803025694......81461365899

%C ...233300...6325144...148821788....3135539502....59036115470....1009432228498

%C ..1005121..32230991...923242475...23739860017...542694735983...11161659240791

%C ..4260728.158164928..5408914174..167047195040..4574838198834..111900180498102

%C .17835379.752162284.30183160828.1103768366168.35784917880517.1030597712205895

%H R. H. Hardin, <a href="/A250676/b250676.txt">Table of n, a(n) for n = 1..105</a>

%F Empirical for column k:

%F k=1: [linear recurrence of order 7] for n>11

%F k=2: [order 20] for n>28

%F k=3: [order 35] for n>47

%F k=4: [order 47] for n>63

%F Empirical for row n:

%F n=1: [linear recurrence of order 7]

%F n=2: [order 20]

%F n=3: [order 58]

%e Some solutions for n=2 k=4

%e ..0..1..1..3..1....2..0..0..2..1....2..1..1..2..0....2..2..1..0..0

%e ..0..1..1..3..1....2..0..0..2..1....2..2..2..1..1....2..3..0..1..2

%e ..1..3..3..1..3....2..0..0..3..3....2..2..2..3..3....2..3..1..2..3

%Y Rows 1-7 are A250677 - A250683.

%K nonn,tabl

%O 1,1

%A _R. H. Hardin_, Nov 26 2014

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Last modified May 24 11:04 EDT 2022. Contains 354033 sequences. (Running on oeis4.)