A252683 Number of (4+2)X(n+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

1010, 1677, 4298, 7747, 26744, 78851, 147462, 519311, 1555755, 2915082, 10313664, 30980483, 58079774, 205778379, 618405463, 1159066270, 4109895588, 12351404831, 23142304030, 82115735795, 246768222195, 462191279878, 1641080449028

Offset

1,1

Comments

Row 4 of A252679

Links

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

Formula

Empirical: a(n) = 45*a(n-3) -591*a(n-6) +1616*a(n-9) +5316*a(n-12) -24526*a(n-15) +2476*a(n-18) +88284*a(n-21) -67519*a(n-24) -126947*a(n-27) +143243*a(n-30) +52204*a(n-33) -73468*a(n-36) -2196*a(n-39) +2064*a(n-42) for n>46

Example

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

Crossrefs

Sequence in context: A043640 A286138 A145808 * A157010 A076940 A173521

Adjacent sequences: A252680 A252681 A252682 * A252684 A252685 A252686

Keyword

nonn

Author

R. H. Hardin, Dec 20 2014

Status

approved