A251943 Number of (n+2)X(1+2) 0..3 arrays with every 3X3 subblock row and column sum prime and every diagonal and antidiagonal sum nonprime

1462, 2255, 1933, 2735, 4346, 7115, 12344, 20995, 36057, 58580, 104407, 186502, 312212, 556439, 993385, 1675842, 2994368, 5369398, 9093366, 16230412, 29150222, 49556229, 88369502, 158881402, 271050205, 482778934, 868646414, 1486881592

Offset

1,1

Comments

Column 1 of A251950

Links

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

Formula

Empirical: a(n) = 13*a(n-3) +3*a(n-4) +a(n-5) -58*a(n-6) -35*a(n-7) -16*a(n-8) +108*a(n-9) +138*a(n-10) +89*a(n-11) -86*a(n-12) -224*a(n-13) -219*a(n-14) -53*a(n-15) +185*a(n-16) +284*a(n-17) +237*a(n-18) -44*a(n-19) -240*a(n-20) -357*a(n-21) -128*a(n-22) +165*a(n-23) +353*a(n-24) +258*a(n-25) -73*a(n-26) -285*a(n-27) -266*a(n-28) -18*a(n-29) +190*a(n-30) +193*a(n-31) +45*a(n-32) -82*a(n-33) -106*a(n-34) -31*a(n-35) +25*a(n-36) +32*a(n-37) +15*a(n-38) -4*a(n-39) -6*a(n-40) -2*a(n-41) for n>50

Example

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

Crossrefs

Sequence in context: A283493 A232347 A251942 * A251950 A023074 A164647

Adjacent sequences: A251940 A251941 A251942 * A251944 A251945 A251946

Keyword

nonn

Author

R. H. Hardin, Dec 11 2014

Status

approved