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!)
A252685 Number of (6+2)X(n+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 13:01:17

%S 2554,7164,28363,56318,314753,1404868,2879551,16215688,73440337,

%T 150742726,853509651,3885489828,7973408731,45304665056,206951131499,

%U 424580014364,2418730083067,11076541430146,22720056873483

%N Number of (6+2)X(n+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 Row 6 of A252679

%H R. H. Hardin, <a href="/A252685/b252685.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 107*a(n-3) -3311*a(n-6) +21299*a(n-9) +215416*a(n-12) -2515712*a(n-15) -1517286*a(n-18) +94043938*a(n-21) -198540459*a(n-24) -1461395767*a(n-27) +6445269765*a(n-30) +2002378911*a(n-33) -56306131888*a(n-36) +114101573392*a(n-39) -66805695788*a(n-42) -34180346472*a(n-45) +49075698736*a(n-48) -8187150816*a(n-51) -6876916928*a(n-54) +2264282496*a(n-57) +107066880*a(n-60) -78299136*a(n-63) +7962624*a(n-66) for n>71

%e Some solutions for n=4

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

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

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

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

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

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

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

%e ..0..2..0..3..2..0....3..3..0..3..3..0....1..0..1..1..0..1....3..1..1..0..1..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 April 23 16:40 EDT 2024. Contains 371916 sequences. (Running on oeis4.)