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!)
A252672 Number of (n+2)X(1+2) 0..3 arrays with every 3X3 subblock row and diagonal sum equal to 0 2 5 6 or 7 and every 3X3 column and antidiagonal sum not equal to 0 2 5 6 or 7 1

%I #4 Dec 20 2014 12:51:17

%S 656,750,808,1010,1648,2554,4038,7108,11589,18742,33497,55048,90043,

%T 161568,265519,437213,784708,1287805,2129537,3818659,6254869,10373871,

%U 18577187,30367195,50480530,90263879,147262314,245263852,437902643

%N Number of (n+2)X(1+2) 0..3 arrays with every 3X3 subblock row and diagonal sum equal to 0 2 5 6 or 7 and every 3X3 column and antidiagonal sum not equal to 0 2 5 6 or 7

%C Column 1 of A252679

%H R. H. Hardin, <a href="/A252672/b252672.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 22*a(n-3) -203*a(n-6) +1029*a(n-9) -3177*a(n-12) +6346*a(n-15) -8664*a(n-18) +8513*a(n-21) -5980*a(n-24) +2593*a(n-27) -305*a(n-30) -595*a(n-33) +664*a(n-36) -372*a(n-39) +162*a(n-42) -40*a(n-45) +8*a(n-48) for n>57

%e Some solutions for n=4

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

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

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

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

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

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

%K nonn

%O 1,1

%A _R. H. Hardin_, Dec 20 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 September 10 20:23 EDT 2024. Contains 375794 sequences. (Running on oeis4.)