A251894 T(n,k)=Number of (n+2)X(k+2) 0..3 arrays with every 3X3 subblock row and column sum not 2 3 6 or 7 and every diagonal and antidiagonal sum 2 3 6 or 7

1280, 1664, 1664, 1280, 1232, 1280, 1280, 602, 602, 1280, 1534, 530, 556, 530, 1534, 1752, 594, 778, 778, 594, 1752, 2146, 790, 1260, 1316, 1260, 790, 2146, 2838, 1182, 1636, 1958, 1958, 1636, 1182, 2838, 3446, 1670, 2478, 2660, 3530, 2660, 2478, 1670

Offset

1,1

Comments

Table starts

.1280.1664.1280..1280..1534...1752...2146....2838....3446....4406.....5830

.1664.1232..602...530...594....790...1182....1670....2474....3890.....5642

.1280..602..556...778..1260...1636...2478....3940....5958....9178....14534

.1280..530..778..1316..1958...2660...4490....7250...10634...17954....28994

.1534..594.1260..1958..3530...6072..11762...21346...39202...80834...147842

.1752..790.1636..2660..6072...9836..17774...38612...70970..132530...284490

.2146.1182.2478..4490.11762..17774..33218...84866..142178..265730...678914

.2838.1670.3940..7250.21346..38612..84866..252162..478370.1145858..3467266

.3446.2474.5958.10634.39202..70970.142178..478370.1017410.2120450..6956290

.4406.3890.9178.17954.80834.132530.265730.1145858.2120450.4251650.18333698

Links

R. H. Hardin, Table of n, a(n) for n = 1..511

Formula

Empirical for column k:

k=1: a(n) = 5*a(n-3) +a(n-5) -8*a(n-6) -4*a(n-8) +4*a(n-9) +5*a(n-11) -2*a(n-14) for n>22

k=2: a(n) = a(n-1) +6*a(n-3) -6*a(n-4) -8*a(n-6) +8*a(n-7) for n>14

k=3: a(n) = a(n-1) +6*a(n-3) -6*a(n-4) -8*a(n-6) +8*a(n-7) for n>12

k=4: a(n) = a(n-1) +4*a(n-3) -4*a(n-4) for n>9

k=5: a(n) = a(n-1) +12*a(n-3) -12*a(n-4) -32*a(n-6) +32*a(n-7) for n>12

k=6: a(n) = a(n-1) +12*a(n-3) -12*a(n-4) -32*a(n-6) +32*a(n-7) for n>12

k=7: a(n) = a(n-1) +8*a(n-3) -8*a(n-4) for n>9

Example

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

Crossrefs

Sequence in context: A234137 A160233 A251887 * A251791 A251784 A234315

Adjacent sequences: A251891 A251892 A251893 * A251895 A251896 A251897

Keyword

nonn,tabl

Author

R. H. Hardin, Dec 10 2014

Status

approved