A252679 T(n,k)=Number of (n+2)X(k+2) 0..3 arrays with every 3X3 subblock row and diagonal sum equal to 0 2 5 6 or 7 and every 3X3 column and antidiagonal sum not equal to 0 2 5 6 or 7

656, 775, 750, 901, 630, 808, 1246, 1005, 991, 1010, 1802, 1525, 2106, 1677, 1648, 2564, 3185, 3424, 4298, 3573, 2554, 3654, 6645, 9794, 7747, 11543, 7164, 4038, 6075, 10933, 24666, 26744, 22203, 28363, 13494, 7108, 9691, 24685, 42376, 78851, 96174

Offset

1,1

Comments

Table starts

...656....775.....901....1246.....1802......2564......3654.......6075

...750....630....1005....1525.....3185......6645.....10933......24685

...808....991....2106....3424.....9794.....24666.....42376.....125832

..1010...1677....4298....7747....26744.....78851....147462.....519311

..1648...3573...11543...22203....96174....362380....722737....3155586

..2554...7164...28363...56318...314753...1404868...2879551...16215688

..4038..13494...64640..136414...916706...4829707..10457376...70249416

..7108..30552..181608..396057..3355456..22804431..51419273..432468082

.11589..63153..459594.1018638.11123034..89973961.205046275.2234231294

.18742.121564.1077260.2491848.32742110.315275226.746995324.9734170550

Links

R. H. Hardin, Table of n, a(n) for n = 1..512

Formula

Empirical for column k:

k=1: [linear recurrence of order 48] for n>57

k=2: [order 33] for n>37

k=3: [order 51] for n>53

k=4: [order 69] for n>71

k=5: [order 90] for n>92

Empirical for row n:

n=1: [linear recurrence of order 38] for n>48

n=2: [order 24] for n>33

n=3: [order 36] for n>39

n=4: [order 42] for n>46

n=5: [order 60] for n>66

n=6: [order 66] for n>71

n=7: [order 93] for n>99

Example

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

Crossrefs

Sequence in context: A194653 A252671 A252672 * A252680 A233898 A088894

Adjacent sequences: A252676 A252677 A252678 * A252680 A252681 A252682

Keyword

nonn,tabl

Author

R. H. Hardin, Dec 20 2014

Status

approved