login

Reminder: The OEIS is hiring a new managing editor, and the application deadline is January 26.

T(n,k)=Number of (n+1)X(k+1) 0..3 arrays with the maximum plus the lower median of every 2X2 subblock differing from its horizontal and vertical neighbors by exactly one
6

%I #4 Feb 15 2014 18:03:59

%S 256,1632,1632,10316,15260,10316,66512,142488,142488,66512,431640,

%T 1365710,1926461,1365710,431640,2776536,13009850,26467386,26467386,

%U 13009850,2776536,17920936,123407764,362996768,533139326,362996768

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

%C Table starts

%C ........256..........1632...........10316............66512...........431640

%C .......1632.........15260..........142488..........1365710.........13009850

%C ......10316........142488.........1926461.........26467386........362996768

%C ......66512.......1365710........26467386........533139326......10733520644

%C .....431640......13009850.......362996768......10733520644.....318431976402

%C ....2776536.....123407764......4957001920.....216277393666....9401494272628

%C ...17920936....1173616996.....68164733860....4367587791906..279092830922873

%C ..115383848...11179776830....934379485016...88165105669262.8254890731634348

%C ..745952272..106365553324..12832924363235.1776627602822848

%C .4801239096.1011373253330.175593729622252

%H R. H. Hardin, <a href="/A237927/b237927.txt">Table of n, a(n) for n = 1..84</a>

%F Empirical for column k:

%F k=1: [linear recurrence of order 30]

%F k=2: [order 93]

%e Some solutions for n=2 k=4

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

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

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

%K nonn,tabl

%O 1,1

%A _R. H. Hardin_, Feb 15 2014