A252162 Number of (n+2) X (3+2) 0..3 arrays with every 3 X 3 subblock row and column sum equal to 2 3 4 6 or 7 and every 3 X 3 diagonal and antidiagonal sum not equal to 2 3 4 6 or 7.

5025, 1574, 2264, 3925, 9178, 20753, 46233, 114986, 269977, 610667, 1539618, 3633301, 8318037, 20933250, 49798431, 114497817, 288734750, 688389415, 1593171011, 4011260914, 9601050751, 22286514907, 56129462418, 134544121435

Offset

1,1

Comments

Column 3 of A252167.

Links

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

Formula

Empirical: a(n) = 2*a(n-2) +26*a(n-3) +9*a(n-4) -52*a(n-5) -177*a(n-6) -234*a(n-7) +356*a(n-8) +142*a(n-9) +1633*a(n-10) -336*a(n-11) -130*a(n-12) -2318*a(n-13) +622*a(n-14) +463*a(n-15) +8410*a(n-16) -1418*a(n-17) +1511*a(n-18) -14007*a(n-19) -1314*a(n-20) -3452*a(n-21) +20561*a(n-22) +4010*a(n-23) +4977*a(n-24) -26812*a(n-25) -6144*a(n-26) -7783*a(n-27) +31407*a(n-28) +10894*a(n-29) +10540*a(n-30) -23393*a(n-31) -15794*a(n-32) -6244*a(n-33) +10860*a(n-34) +9366*a(n-35) +128*a(n-36) -6244*a(n-37) -192*a(n-38) +128*a(n-40) for n>45.

Example

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

Crossrefs

Cf. A252167.

Sequence in context: A281299 A112139 A188241 * A248986 A013534 A309034

Adjacent sequences: A252159 A252160 A252161 * A252163 A252164 A252165

Keyword

nonn

Author

R. H. Hardin, Dec 14 2014

Status

approved