A252157 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 1 3 6 or 7 and every 3X3 diagonal and antidiagonal sum equal to 0 1 3 6 or 7

1254, 1945, 1945, 2591, 1874, 2591, 3583, 1898, 1898, 3583, 5577, 2702, 3197, 2702, 5577, 8309, 4732, 4988, 4988, 4732, 8309, 13146, 8769, 9572, 8425, 9572, 8769, 13146, 20950, 16786, 17803, 15460, 15460, 17803, 16786, 20950, 33818, 32653, 35924, 29825

Offset

1,1

Comments

Table starts

..1254...1945...2591...3583...5577....8309...13146...20950....33818....55346

..1945...1874...1898...2702...4732....8769...16786...32653....64082...126281

..2591...1898...3197...4988...9572...17803...35924...68613...140294...268864

..3583...2702...4988...8425..15460...29825...58792..116276...229960...457196

..5577...4732...9572..15460..29276...57271..114243..225966...451186...898886

..8309...8769..17803..29825..57271..112547..223442..447713...891380..1776728

.13146..16786..35924..58792.114243..223442..446661..897932..1788360..3551084

.20950..32653..68613.116276.225966..447713..897932.1835764..3657020..7406660

.33818..64082.140294.229960.451186..891380.1788360.3657020..7371828.14724764

.55346.126281.268864.457196.898886.1776728.3551084.7406660.14724764.29451572

Links

R. H. Hardin, Table of n, a(n) for n = 1..448

Formula

Empirical for column k:

k=1: [linear recurrence of order 61] for n>82

k=2: [order 19] for n>27

k=3: [order 9] for n>14

k=4: [order 8] for n>13

k=5: [order 11] for n>16

k=6: [order 10] for n>15

k=7: [order 11, same recurrence as k=5] for n>16

Example

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

Crossrefs

Sequence in context: A264291 A265925 A252149 * A252150 A023068 A062693

Adjacent sequences: A252154 A252155 A252156 * A252158 A252159 A252160

Keyword

nonn,tabl

Author

R. H. Hardin, Dec 14 2014

Status

approved