A252574 T(n,k)=Number of (n+2)X(k+2) 0..3 arrays with every 3X3 subblock row and diagonal sum equal to 1 2 5 6 or 7 and every 3X3 column and antidiagonal sum not equal to 1 2 5 6 or 7.

702, 843, 742, 1069, 868, 890, 1694, 1795, 1558, 1469, 2985, 3441, 4168, 3286, 2637, 5401, 8980, 9051, 10885, 7610, 4583, 9936, 23007, 30532, 25882, 34532, 17261, 8279, 18972, 47737, 92725, 107651, 88844, 96099, 39419, 15476, 36144, 133142, 208375

Offset: 1

Author

R. H. Hardin, Dec 18 2014

Keywords

• nonn
• tabl

Comments

Table starts

...702....843....1069.....1694......2985.......5401........9936........18972

...742....868....1795.....3441......8980......23007.......47737.......133142

...890...1558....4168.....9051.....30532......92725......208375.......715437

..1469...3286...10885....25882....107651.....395500......959944......4006901

..2637...7610...34532....88844....498696....2538669.....6590930.....37656158

..4583..17261...96099...263046...1887578...11285381....31059674....225598956

..8279..39419..275252...802760...7115253...53055996...155864925...1380518004

.15476..94224..896803..2655311..31894631..337833222...994640586..12185963853

.28007.218717.2561903..7860183.122743127.1537313257..4728064653..74805119002

.51488.504824.7521424.24273030.470091119.7468646942.24277561799.469290271873

Examples

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

Links

• R. H. Hardin, Table of n, a(n) for n = 1..392

Crossrefs

Column 1 is A005010(n-1)

Column 2 is A052548(n+3)

Row 1 is A083706(n+1)

Formula

Empirical for column k:

k=1: [linear recurrence of order 54] for n>60

k=2: [order 45] for n>50

k=3: [order 39] for n>46

k=4: [order 54] for n>60

k=5: [order 84] for n>89

Empirical for row n:

n=1: [linear recurrence of order 33] for n>43

n=2: [order 27] for n>34

n=3: [order 24] for n>32

n=4: [order 24] for n>31

n=5: [order 24] for n>32

n=6: [order 42] for n>50

n=7: [order 36] for n>45