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A233497 T(n,k)=Number of (n+2)X(k+2) 0..2 arrays with no increasing sequence of length 3 horizontally or antidiagonally downwards 16

%I

%S 16928,388908,424009,8946936,26851581,10619963,205862149,1709348346,

%T 1853443458,265993633,4735554885,108934667695,325881917874,

%U 127934319483,6662227346,108935413524,6940835448966,57417306351598,62127117326151

%N T(n,k)=Number of (n+2)X(k+2) 0..2 arrays with no increasing sequence of length 3 horizontally or antidiagonally downwards

%C Table starts

%C ........16928..........388908.............8946936..............205862149

%C .......424009........26851581..........1709348346...........108934667695

%C .....10619963......1853443458........325881917874.........57417306351598

%C ....265993633....127934319483......62127117326151......30258000792128359

%C ...6662227346...8830686982464...11844001767009636...15945021790711870267

%C .166865923720.609539583118581.2257956973020836034.8402516744270059192510

%H R. H. Hardin, <a href="/A233497/b233497.txt">Table of n, a(n) for n = 1..127</a>

%F Empirical for column k:

%F k=1: a(n) = 25*a(n-1) +2*a(n-2) -21*a(n-3) +3*a(n-4)

%F k=2: [order 7]

%F k=3: [order 7]

%F Empirical for row n:

%F n=1: [linear recurrence of order 22]

%F n=2: [order 68]

%e Some solutions for n=1 k=4

%e ..0..0..0..0..0..0....0..0..0..0..0..0....0..0..0..0..0..0....0..0..0..0..0..0

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

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

%K nonn,tabl

%O 1,1

%A _R. H. Hardin_, Dec 11 2013

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Last modified September 29 09:23 EDT 2022. Contains 357088 sequences. (Running on oeis4.)