A252637 Number of (n+2)X(5+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

6598, 22701, 110665, 448323, 2641643, 13960830, 62261756, 378997999, 2046478799, 9628330801, 59374168196, 322709718271, 1563088803139, 9691995342577, 52757221119490, 259349258343928, 1611556225819907, 8772483896966923

Offset

1,1

Comments

Column 5 of A252640

Links

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

Formula

Empirical: a(n) = 401*a(n-3) -58334*a(n-6) +3905774*a(n-9) -123912796*a(n-12) +1797645518*a(n-15) -16104263185*a(n-18) +106963513595*a(n-21) -484501448416*a(n-24) +1241730094740*a(n-27) -1500310993968*a(n-30) +684083769472*a(n-33) -33538252800*a(n-36) for n>46

Example

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

Crossrefs

Sequence in context: A256837 A216177 A186563 * A164971 A214434 A317247

Adjacent sequences: A252634 A252635 A252636 * A252638 A252639 A252640

Keyword

nonn

Author

R. H. Hardin, Dec 19 2014

Status

approved