A252060 Number of (n+2)X(3+2) 0..2 arrays with every 3X3 subblock row, column, diagonal and antidiagonal sum not equal to 1 2 or 4

383, 817, 2349, 7463, 25220, 86642, 299027, 1035506, 3595103, 12486601, 43369095, 150672097, 523549752, 1819232513, 6321437284, 21965788279, 76327880609, 265229912286, 921639469993, 3202571264044, 11128513734186, 38670172539533

Offset

1,1

Comments

Column 3 of A252065

Links

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

Formula

Empirical: a(n) = 4*a(n-1) -5*a(n-2) +22*a(n-3) -33*a(n-4) +15*a(n-5) -139*a(n-6) +2*a(n-7) +137*a(n-8) +528*a(n-9) +456*a(n-10) -850*a(n-11) -1169*a(n-12) -1091*a(n-13) +1754*a(n-14) +1358*a(n-15) +224*a(n-16) -2415*a(n-17) -932*a(n-18) +2998*a(n-19) +3877*a(n-20) +1738*a(n-21) -5090*a(n-22) -5435*a(n-23) -3690*a(n-24) +2739*a(n-25) +3715*a(n-26) +3257*a(n-27) +769*a(n-28) -176*a(n-29) -355*a(n-30) -1047*a(n-31) -928*a(n-32) -796*a(n-33) +60*a(n-34) +275*a(n-35) +230*a(n-36) +22*a(n-37) -40*a(n-38) -4*a(n-39) +8*a(n-40) +8*a(n-41) for n>46

Example

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

Crossrefs

Sequence in context: A072385 A045122 A064721 * A046014 A342065 A046491

Adjacent sequences: A252057 A252058 A252059 * A252061 A252062 A252063

Keyword

nonn

Author

R. H. Hardin, Dec 13 2014

Status

approved