The OEIS mourns the passing of Jim Simons and is grateful to the Simons Foundation for its support of research in many branches of science, including the OEIS.
The OEIS is supported by the many generous donors to the OEIS Foundation.

 Hints (Greetings from The On-Line Encyclopedia of Integer Sequences!)
 A252114 T(n,k)=Number of (n+2)X(k+2) 0..3 arrays with every 3X3 subblock row and column sum equal to 0 2 3 6 or 7 and every 3X3 diagonal and antidiagonal sum not equal to 0 2 3 6 or 7 9

%I #4 Dec 14 2014 07:34:41

%S 1417,1929,1929,1568,1424,1568,1600,724,724,1600,1884,584,554,584,

%T 1884,2058,624,776,776,624,2058,2468,788,1258,1314,1258,788,2468,3149,

%U 1180,1634,1956,1956,1634,1180,3149,3950,1668,2476,2658,3528,2658,2476,1668

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

%C Table starts

%C .1417.1929.1568..1600..1884...2058...2468....3149....3950....5208.....6792

%C .1929.1424..724...584...624....788...1180....1668....2472....3888.....5640

%C .1568..724..554...776..1258...1634...2476....3938....5956....9176....14532

%C .1600..584..776..1314..1956...2658...4488....7248...10632...17952....28992

%C .1884..624.1258..1956..3528...6070..11760...21344...39200...80832...147840

%C .2058..788.1634..2658..6070...9834..17772...38610...70968..132528...284488

%C .2468.1180.2476..4488.11760..17772..33216...84864..142176..265728...678912

%C .3149.1668.3938..7248.21344..38610..84864..252160..478368.1145856..3467264

%C .3950.2472.5956.10632.39200..70968.142176..478368.1017408.2120448..6956288

%C .5208.3888.9176.17952.80832.132528.265728.1145856.2120448.4251648.18333696

%H R. H. Hardin, <a href="/A252114/b252114.txt">Table of n, a(n) for n = 1..449</a>

%F Empirical for column k:

%F k=1: [linear recurrence of order 25] for n>33

%F k=2: a(n) = 6*a(n-3) -8*a(n-6) for n>13

%F k=3: a(n) = 6*a(n-3) -8*a(n-6) for n>11

%F k=4: a(n) = 4*a(n-3) for n>8

%F k=5: a(n) = 12*a(n-3) -32*a(n-6) for n>11

%F k=6: a(n) = 12*a(n-3) -32*a(n-6) for n>11

%F k=7: a(n) = 8*a(n-3) for n>8

%e Some solutions for n=4 k=4

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

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

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

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

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

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

%K nonn,tabl

%O 1,1

%A _R. H. Hardin_, Dec 14 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.

Last modified May 23 18:59 EDT 2024. Contains 372765 sequences. (Running on oeis4.)