A237951 - OEIS

%I #4 Feb 16 2014 06:11:55

%S 256,1460,1460,8291,12218,8291,50268,102396,102396,50268,303996,

%T 945688,1268436,945688,303996,1843152,8557942,17612024,17612024,

%U 8557942,1843152,11184876,78337964,235951750,386513430,235951750,78337964,11184876

%N T(n,k)=Number of (n+1)X(k+1) 0..3 arrays with the maximum plus the upper median plus the lower median of every 2X2 subblock differing from its horizontal and vertical neighbors by exactly one

%C Table starts

%C ........256........1460.........8291.........50268........303996.......1843152

%C .......1460.......12218.......102396........945688.......8557942......78337964

%C .......8291......102396......1268436......17612024.....235951750....3242667656

%C ......50268......945688.....17612024.....386513430....7955118248..171966060604

%C .....303996.....8557942....235951750....7955118248..245793254004.8132627354852

%C ....1843152....78337964...3242667656..171966060604.8132627354852

%C ...11184876...716030830..44334957288.3650074854108

%C ...68097912..6626058730.616683845628

%C ..414486896.60902085946

%C .2520029560

%H R. H. Hardin, <a href="/A237951/b237951.txt">Table of n, a(n) for n = 1..60</a>

%F Empirical for column k:

%F k=1: [linear recurrence of order 46]

%e Some solutions for n=2 k=4

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

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

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

%K nonn,tabl

%O 1,1

%A _R. H. Hardin_, Feb 16 2014