A252053 T(n,k)=Number of (n+2)X(k+2) 0..3 arrays with every 3X3 subblock row and column sum not 1 3 6 or 8 and every diagonal and antidiagonal sum 1 3 6 or 8

1552, 2440, 2440, 2812, 2454, 2812, 3494, 2552, 2552, 3494, 5192, 3030, 2674, 3030, 5192, 7642, 6136, 4390, 4390, 6136, 7642, 10084, 10324, 10114, 6562, 10114, 10324, 10084, 15096, 14924, 17166, 16536, 16536, 17166, 14924, 15096, 22090, 28990, 26840

Offset

1,1

Comments

Table starts

..1552..2440...2812...3494....5192....7642....10084.....15096.....22090

..2440..2454...2552...3030....6136...10324....14924.....28990.....52526

..2812..2552...2674...4390...10114...17166....26840.....60924....113000

..3494..3030...4390...6562...16536...29180....45444....113456....205932

..5192..6136..10114..16536...53346..112542...191804....603460...1370412

..7642.10324..17166..29180..112542..233342...398502...1545586...3493324

.10084.14924..26840..45444..191804..398502...658902...2988638...6379018

.15096.28990..60924.113456..603460.1545586..2988638..16790430..48091358

.22090.52526.113000.205932.1370412.3493324..6379018..48091358.127185206

.33394.86904.193072.339128.2559304.6364926.11153632.100546914.249860090

Links

R. H. Hardin, Table of n, a(n) for n = 1..576

Formula

Empirical for column k:

k=1: [linear recurrence of order 59] for n>69

k=2: [order 47] for n>54

k=3: [order 46] for n>52

k=4: [order 45] for n>50

k=5: [order 62] for n>66

k=6: [order 71] for n>75

k=7: [order 69] for n>73

Example

Some solutions for n=4 k=4
..3..3..1..3..1..3....2..1..1..2..1..1....3..1..0..3..2..0....0..0..0..2..0..2
..2..3..2..0..2..0....1..3..0..1..3..3....3..2..2..1..1..3....1..2..1..2..1..2
..2..1..2..1..2..1....2..1..1..2..1..1....1..1..3..0..2..2....1..3..1..0..1..3
..3..1..0..1..3..1....2..1..1..2..1..1....3..2..2..1..1..0....2..0..2..3..2..0
..0..2..3..2..0..2....1..0..3..1..0..3....3..1..0..3..2..2....2..1..2..1..2..1
..1..2..1..2..1..2....2..1..1..2..1..1....3..2..2..1..1..0....0..1..3..1..3..3

Crossrefs

Sequence in context: A259424 A323330 A252403 * A252046 A252045 A184683

Adjacent sequences: A252050 A252051 A252052 * A252054 A252055 A252056

Keyword

nonn,tabl

Author

R. H. Hardin, Dec 13 2014

Status

approved