A251815 Number of (n+2)X(4+2) 0..2 arrays with every row, column, diagonal or antidiagonal in each 3X3 subblock summing to a prime

1215, 1511, 5401, 22922, 96649, 409196, 1741500, 7424379, 31630192, 134638409, 573239769, 2441382476, 10396957545, 44272817726, 188528190560, 802834481337, 3418801560572, 14558580766123, 61996115520891, 264004067912028

Offset

1,1

Comments

Column 4 of A251819

Links

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

Formula

Empirical: a(n) = a(n-1) +6*a(n-2) +21*a(n-3) +53*a(n-4) +32*a(n-5) -61*a(n-6) -245*a(n-7) -323*a(n-8) +337*a(n-9) +944*a(n-10) +125*a(n-11) -1087*a(n-12) -852*a(n-13) +494*a(n-14) +889*a(n-15) +81*a(n-16) -280*a(n-17) -101*a(n-18) -17*a(n-19) -51*a(n-20) -9*a(n-21) +28*a(n-22) +a(n-23) +12*a(n-24) +7*a(n-25) -4*a(n-26) for n>28

Example

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

Crossrefs

Sequence in context: A204331 A105311 A252125 * A130680 A346207 A068783

Adjacent sequences: A251812 A251813 A251814 * A251816 A251817 A251818

Keyword

nonn

Author

R. H. Hardin, Dec 09 2014

Status

approved