A252407 T(n,k)=Number of (n+2)X(k+2) 0..3 arrays with every 3X3 subblock row and diagonal sum equal to 2 3 4 6 or 7 and every 3X3 column and antidiagonal sum not equal to 2 3 4 6 or 7

458, 661, 293, 983, 442, 319, 1551, 774, 688, 426, 2689, 1157, 1515, 1224, 631, 4582, 2489, 2555, 3302, 2414, 964, 7662, 5060, 7425, 6231, 8346, 5061, 1529, 13777, 8307, 18377, 21819, 16906, 20998, 10129, 2517, 24375, 19629, 32710, 63428, 73925, 44456

Offset

1,1

Comments

Table starts

..458...661....983....1551.....2689......4582......7662......13777.......24375

..293...442....774....1157.....2489......5060......8307......19629.......41216

..319...688...1515....2555.....7425.....18377.....32710......97923......245711

..426..1224...3302....6231....21819.....63428....122653.....433272.....1264088

..631..2414...8346...16906....73925....267113....551827....2435059.....8866727

..964..5061..20998...44456...249530...1068295...2289969...12895653....55487440

.1529.10129..50675..113146...762761...3896844...8765249...58862703...301012112

.2517.21427.133296..311214..2632409..16806104..39649367..335814585..2161683081

.4097.46070.343447..819606..8914507..68150374.163860739.1780727737.13694498100

.6733.93671.848007.2086566.27372795.253409613.627061685.8161047651.75692321760

Links

R. H. Hardin, Table of n, a(n) for n = 1..544

Formula

Empirical for column k:

k=1: [linear recurrence of order 24] for n>28

k=2: [order 27] for n>31

k=3: [order 45] for n>48

k=4: [order 66] for n>69

k=5: [order 84] for n>87

Empirical for row n:

n=1: [linear recurrence of order 79] for n>86

n=2: [order 21] for n>26

n=3: [order 30] for n>37

n=4: [order 39] for n>41

n=5: [order 54] for n>55

n=6: [order 60] for n>63

n=7: [order 90] for n>91

Example

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

Crossrefs

Sequence in context: A252400 A252399 A341186 * A252408 A251474 A251468

Adjacent sequences: A252404 A252405 A252406 * A252408 A252409 A252410

Keyword

nonn,tabl

Author

R. H. Hardin, Dec 17 2014

Status

approved