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A210320 T(n,k)=Number of (n+1)X(k+1) 0..3 arrays containing all values 0..3 with every 2X2 subblock having two or three distinct values, and new values 0..3 introduced in row major order 9

%I #5 Mar 31 2012 12:37:33

%S 0,35,35,995,4125,995,19186,279526,279526,19186,319485,16048775,

%T 58464712,16048775,319485,4963700,863174816,11186190570,11186190570,

%U 863174816,4963700,74362241,45102170733,2073034512148,7415631633670,2073034512148

%N T(n,k)=Number of (n+1)X(k+1) 0..3 arrays containing all values 0..3 with every 2X2 subblock having two or three distinct values, and new values 0..3 introduced in row major order

%C Table starts

%C ..........0..............35..................995.....................19186

%C .........35............4125...............279526..................16048775

%C ........995..........279526.............58464712...............11186190570

%C ......19186........16048775..........11186190570.............7415631633670

%C .....319485.......863174816........2073034512148..........4840385164324833

%C ....4963700.....45102170733......379491677736164.......3143730516432515149

%C ...74362241...2324938770750....69133776440716096....2038470253990478011542

%C .1091691712.119066365167743.12569987936154929124.1321089260079684340068116

%H R. H. Hardin, <a href="/A210320/b210320.txt">Table of n, a(n) for n = 1..144</a>

%e Some solutions for n=4 k=3

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

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

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

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

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

%K nonn,tabl

%O 1,2

%A _R. H. Hardin_ Mar 20 2012

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Last modified April 23 10:29 EDT 2024. Contains 371905 sequences. (Running on oeis4.)