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 A265878 T(n,k)=Number of nXk integer arrays with each element equal to the number of horizontal, vertical and antidiagonal neighbors less than itself. 5

%I

%S 1,3,3,5,25,5,11,137,137,11,26,2084,1330,2084,26,55,14854,30363,30363,

%T 14854,55,119,136969,544092,4393458,544092,136969,119,263,1288011,

%U 9831410,344222538,344222538,9831410,1288011,263,573,10892624,185555660

%N T(n,k)=Number of nXk integer arrays with each element equal to the number of horizontal, vertical and antidiagonal neighbors less than itself.

%C Table starts

%C ...1.......3.........5............11...............26...................55

%C ...3......25.......137..........2084............14854...............136969

%C ...5.....137......1330.........30363...........544092..............9831410

%C ..11....2084.....30363.......4393458........344222538..........26635427570

%C ..26...14854....544092.....344222538......90246574543.......21163068638346

%C ..55..136969...9831410...26635427570...21163068638346....15698042741229661

%C .119.1288011.185555660.2364713952883.6441486693916691.16536262399332183012

%H R. H. Hardin, <a href="/A265878/b265878.txt">Table of n, a(n) for n = 1..83</a>

%F Empirical for column k:

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

%F k=2: [order 41]

%e Some solutions for n=3 k=4

%e ..0..1..2..0....0..0..1..2....2..1..4..1....1..4..3..0....0..3..3..2

%e ..3..5..5..0....0..5..6..0....1..0..0..3....0..1..2..2....0..1..1..1

%e ..0..0..0..0....0..0..3..1....1..3..4..0....2..3..3..0....1..1..0..2

%Y Column 1 is A196423.

%K nonn,tabl

%O 1,2

%A _R. H. Hardin_, Dec 17 2015

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Last modified November 30 19:02 EST 2021. Contains 349424 sequences. (Running on oeis4.)