The OEIS Foundation is supported by donations from users of the OEIS and by a grant from the Simons Foundation.

 Hints (Greetings from The On-Line Encyclopedia of Integer Sequences!)
 A239424 T(n,k)=Number of nXk 0..3 arrays with no element equal to the sum of elements to its left or the sum of the elements above it or the sum of the elements diagonally to its northwest, modulo 4 5

%I

%S 3,6,6,14,18,14,32,80,80,32,72,320,684,320,72,164,1244,4740,4740,1244,

%T 164,372,4990,34728,60626,34728,4990,372,844,19560,247942,811554,

%U 811554,247942,19560,844,1916,77220,1823840,10575232,21127494,10575232,1823840

%N T(n,k)=Number of nXk 0..3 arrays with no element equal to the sum of elements to its left or the sum of the elements above it or the sum of the elements diagonally to its northwest, modulo 4

%C Table starts

%C ....3.......6........14..........32...........72...........164...........372

%C ....6......18........80.........320.........1244..........4990.........19560

%C ...14......80.......684........4740........34728........247942.......1823840

%C ...32.....320......4740.......60626.......811554......10575232.....145743440

%C ...72....1244.....34728......811554.....21127494.....503941286...13584156020

%C ..164....4990....247942....10575232....503941286...22336992290.1143701274244

%C ..372...19560...1823840...145743440..13584156020.1143701274244

%C ..844...77220..13104784..1928821306.331591613568

%C .1916..304224..96061078.26684346362

%C .4348.1197958.695765782

%H R. H. Hardin, <a href="/A239424/b239424.txt">Table of n, a(n) for n = 1..84</a>

%F Empirical for column k:

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

%F k=2: [order 14] for n>15

%e Some solutions for n=4 k=4

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

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

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

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

%Y Column 1 is A238768

%K nonn,tabl

%O 1,1

%A _R. H. Hardin_, Mar 17 2014

Lookup | Welcome | Wiki | Register | Music | Plot 2 | Demos | Index | Browse | More | WebCam
Contribute new seq. or comment | Format | Style Sheet | Transforms | Superseeker | Recent
The OEIS Community | Maintained by The OEIS Foundation Inc.

Last modified February 26 08:33 EST 2020. Contains 332277 sequences. (Running on oeis4.)