login
The OEIS is supported by the many generous donors to the OEIS Foundation.

 

Logo
Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A251647 Number of (n+2)X(3+2) 0..3 arrays with no row, column, diagonal or antidiagonal in any 3X3 subblock summing to 0 2 4 5 7 or 9 1

%I #4 Dec 06 2014 10:44:06

%S 738,1928,4522,9918,31022,74194,163318,509054,1221194,2704574,8386814,

%T 20177362,44950790,138592654,334384234,749470958,2296746062,

%U 5557738322,12535135958,38171299294,92650542218,210319394398,636286353118

%N Number of (n+2)X(3+2) 0..3 arrays with no row, column, diagonal or antidiagonal in any 3X3 subblock summing to 0 2 4 5 7 or 9

%C Column 3 of A251652

%H R. H. Hardin, <a href="/A251647/b251647.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 4*a(n-1) -2*a(n-2) +10*a(n-3) -60*a(n-4) +34*a(n-5) +95*a(n-6) -64*a(n-7) -32*a(n-8) +16*a(n-9) for n>13

%e Some solutions for n=4

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

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

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

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

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

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

%K nonn

%O 1,1

%A _R. H. Hardin_, Dec 06 2014

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

License Agreements, Terms of Use, Privacy Policy. .

Last modified April 24 15:52 EDT 2024. Contains 371961 sequences. (Running on oeis4.)