A251812 Number of (n+2)X(1+2) 0..2 arrays with every row, column, diagonal or antidiagonal in each 3X3 subblock summing to a prime

345, 500, 738, 1215, 1973, 3349, 6066, 11665, 23442, 48256, 101531, 217705, 471123, 1025656, 2242011, 4913306, 10789096, 23715353, 52156045, 114761543, 252589712, 556041339, 1224184142, 2695346588, 5934782271, 13067996277, 28775310395

Offset

1,1

Comments

Column 1 of A251819

Links

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

Formula

Empirical: a(n) = a(n-1) +10*a(n-3) -3*a(n-4) +5*a(n-5) -41*a(n-6) -7*a(n-7) -34*a(n-8) +83*a(n-9) +45*a(n-10) +94*a(n-11) -89*a(n-12) -93*a(n-13) -144*a(n-14) +45*a(n-15) +107*a(n-16) +137*a(n-17) +4*a(n-18) -73*a(n-19) -82*a(n-20) -20*a(n-21) +27*a(n-22) +28*a(n-23) +11*a(n-24) -4*a(n-25) -4*a(n-26) -2*a(n-27) for n>35

Example

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

Crossrefs

Sequence in context: A172952 A306670 A251819 * A251811 A268145 A116347

Adjacent sequences: A251809 A251810 A251811 * A251813 A251814 A251815

Keyword

nonn

Author

R. H. Hardin, Dec 09 2014

Status

approved