A252640 T(n,k)=Number of (n+2)X(k+2) 0..3 arrays with every 3X3 subblock row and diagonal sum equal to 0 3 4 6 or 7 and every 3X3 column and antidiagonal sum not equal to 0 3 4 6 or 7

572, 1013, 687, 1758, 1684, 1189, 3162, 4026, 4226, 2230, 6598, 8253, 12840, 10259, 4382, 13038, 22701, 29463, 39492, 28978, 8697, 24852, 56953, 110665, 95904, 145594, 80304, 17046, 51396, 121016, 355574, 448323, 395940, 527688, 205127, 34424

Offset

1,1

Comments

Table starts

....572....1013.....1758......3162.......6598........13038........24852

....687....1684.....4026......8253......22701........56953.......121016

...1189....4226....12840.....29463.....110665.......355574.......840655

...2230...10259....39492.....95904.....448323......1848350......4416767

...4382...28978...145594....395940....2641643.....14252070.....39238223

...8697...80304...527688...1504636...13960830....101563107....285228944

..17046..205127..1812508...5124134...62261756....625096361...1669555189

..34424..598762..7013991..21431528..378997999...5008257261..14996577319

..69196.1716412.27089549..82893234.2046478799..37697432955.109620130066

.136906.4519719.99843027.292817550.9628330801.249652077490.681798971770

Links

R. H. Hardin, Table of n, a(n) for n = 1..648

Formula

Empirical for column k:

k=1: [linear recurrence of order 18] for n>24

k=2: [order 27] for n>36

k=3: [order 33] for n>42

k=4: [order 27] for n>35

k=5: [order 36] for n>46

k=6: [order 51] for n>63

k=7: [order 39] for n>50

Empirical for row n:

n=1: [linear recurrence of order 67] for n>74

n=2: [order 60] for n>63

n=3: [order 60] for n>63

n=4: [order 60] for n>62

n=5: [order 90] for n>94

Example

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

Crossrefs

Sequence in context: A049361 A252633 A175989 * A252641 A360129 A252632

Adjacent sequences: A252637 A252638 A252639 * A252641 A252642 A252643

Keyword

nonn,tabl

Author

R. H. Hardin, Dec 19 2014

Status

approved