A252146 Number of (n+2)X(6+2) 0..3 arrays with every 3X3 subblock row and column sum equal to 0 3 5 6 or 7 and every 3X3 diagonal and antidiagonal sum not equal to 0 3 5 6 or 7

24855, 7997, 8964, 11662, 16958, 24112, 34320, 50514, 77490, 109924, 171154, 246314, 374956, 548398, 851976, 1239416, 1947846, 2846434, 4448414, 6528938, 10282258, 15052762, 23850504, 35046680, 55444962, 81645260, 129689058

Offset

1,1

Comments

Column 6 of A252148

Links

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

Formula

Empirical: a(n) = a(n-2) +3*a(n-3) +a(n-4) -3*a(n-5) +4*a(n-6) -3*a(n-7) +3*a(n-8) -15*a(n-9) -6*a(n-11) +2*a(n-12) +3*a(n-13) -a(n-14) +9*a(n-15) -a(n-16) +9*a(n-17) -4*a(n-18) -3*a(n-20) +3*a(n-21) -a(n-24) for n>33

Example

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

Crossrefs

Sequence in context: A334024 A184093 A252639 * A110599 A199857 A138717

Adjacent sequences: A252143 A252144 A252145 * A252147 A252148 A252149

Keyword

nonn

Author

R. H. Hardin, Dec 14 2014

Status

approved