A252130 T(n,k)=Number of (n+2)X(k+2) 0..3 arrays with every 3X3 subblock row and column sum not equal to 0 3 4 6 or 7 and every 3X3 diagonal and antidiagonal sum equal to 0 3 4 6 or 7

380, 634, 634, 1214, 1732, 1214, 2149, 5622, 5622, 2149, 4671, 10379, 25017, 10379, 4671, 9640, 34891, 44895, 44895, 34891, 9640, 17053, 120600, 263585, 106631, 263585, 120600, 17053, 37562, 218388, 1322632, 566817, 566817, 1322632, 218388

Offset

1,1

Comments

Table starts

....380.....634......1214......2149........4671.........9640........17053

....634....1732......5622.....10379.......34891.......120600.......218388

...1214....5622.....25017.....44895......263585......1322632......2216594

...2149...10379.....44895....106631......566817......2564965......5921321

...4671...34891....263585....566817.....4795018.....40402457.....82061030

...9640..120600...1322632...2564965....40402457....515273273....913218432

..17053..218388...2216594...5921321....82061030....913218432...2318294384

..37562..776527..14725300..32909665...744011930..16209952502..33845245598

..78602.2785875..78319500.153318163..6560422082.217606042342.390491860658

.138803.4949307.126119849.344985321.12886451653.371233200163.960716888512

Links

R. H. Hardin, Table of n, a(n) for n = 1..420

Formula

Empirical for column k:

k=1: [linear recurrence of order 21] for n>26

k=2: [order 34] for n>37

k=3: [order 37] for n>42

k=4: [order 52] for n>55

k=5: [order 67] for n>70

k=6: [order 90] for n>94

Example

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

Crossrefs

Sequence in context: A340200 A099728 A206349 * A252123 A158597 A252122

Adjacent sequences: A252127 A252128 A252129 * A252131 A252132 A252133

Keyword

nonn,tabl

Author

R. H. Hardin, Dec 14 2014

Status

approved