A252468 Number of (n+2)X(3+2) 0..3 arrays with every 3X3 subblock row, column, diagonal and antidiagonal sum not equal to 0 3 5 6 or 8

1299, 813, 1741, 5367, 18175, 62391, 213791, 735125, 2535533, 8732005, 30044255, 103433231, 356211387, 1226555493, 4222869449, 14539251555, 50061141995, 172368825763, 593481175837, 2043402198169, 7035653624481, 24224571439505

Offset

1,1

Comments

Column 3 of A252473

Links

R. H. Hardin, Table of n, a(n) for n = 1..210

Formula

Empirical: a(n) = a(n-1) +a(n-2) +12*a(n-3) +33*a(n-4) +43*a(n-5) +36*a(n-6) -44*a(n-7) -113*a(n-8) -56*a(n-9) +10*a(n-10) +70*a(n-11) +89*a(n-12) +6*a(n-13) -51*a(n-14) -42*a(n-15) -8*a(n-16) +6*a(n-17) +4*a(n-18) +4*a(n-19) for n>24

Example

Some solutions for n=4
..1..3..3..3..3....3..3..3..1..3....3..3..3..3..3....3..3..3..1..3
..3..3..3..3..3....3..3..3..3..3....1..3..3..3..3....1..3..3..3..1
..3..1..3..3..1....1..3..3..3..3....3..3..3..3..3....3..3..3..3..3
..3..3..3..3..3....3..3..1..3..3....3..3..3..3..1....3..3..3..3..3
..3..3..3..3..3....3..3..3..3..1....3..3..3..3..3....3..3..3..1..3
..3..1..3..3..1....3..3..3..1..3....3..1..3..3..3....1..3..3..3..3

Crossrefs

Sequence in context: A031750 A345956 A031534 * A135125 A204945 A204941

Adjacent sequences: A252465 A252466 A252467 * A252469 A252470 A252471

Keyword

nonn

Author

R. H. Hardin, Dec 17 2014

Status

approved