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!)
A252438 Number of (5+2)X(n+2) 0..3 arrays with every 3X3 subblock row and diagonal sum equal to 0 2 4 6 or 7 and every 3X3 column and antidiagonal sum not equal to 0 2 4 6 or 7 1

%I #4 Dec 17 2014 10:58:24

%S 1152,2993,9643,20187,85563,302218,652210,2786331,9882896,21364917,

%T 91892076,329431402,713269143,3086478489,11174739662,24228015605,

%U 105441386320,385277405784,836364909521,3658820031018,13479381001111

%N Number of (5+2)X(n+2) 0..3 arrays with every 3X3 subblock row and diagonal sum equal to 0 2 4 6 or 7 and every 3X3 column and antidiagonal sum not equal to 0 2 4 6 or 7

%C Row 5 of A252433

%H R. H. Hardin, <a href="/A252438/b252438.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 70*a(n-3) -1310*a(n-6) +2636*a(n-9) +32077*a(n-12) -114560*a(n-15) -249921*a(n-18) +1417321*a(n-21) +345748*a(n-24) -7837703*a(n-27) +5163709*a(n-30) +17041697*a(n-33) -25415804*a(n-36) +9724087*a(n-39) +1068754*a(n-42) -1474782*a(n-45) +323236*a(n-48) -26094*a(n-51) +840*a(n-54) for n>58

%e Some solutions for n=4

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

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

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

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

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

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

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

%K nonn

%O 1,1

%A _R. H. Hardin_, Dec 17 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 March 29 08:13 EDT 2024. Contains 371265 sequences. (Running on oeis4.)