A252276 Number of (n+2)X(6+2) 0..3 arrays with every 3X3 subblock row and column sum not equal to 2 3 4 6 or 7 and every 3X3 diagonal and antidiagonal sum equal to 2 3 4 6 or 7

852, 4702, 20430, 43488, 257064, 1181875, 2489352, 15332220, 72256060, 151452208, 959982508, 4591052192, 9592850068, 61849559376, 298253419076, 622061005236, 4048741759032, 19611826209636, 40863715273940, 267312430484704

Offset

1,1

Comments

Column 6 of A252278

Links

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

Formula

Empirical: a(n) = 123*a(n-3) -4692*a(n-6) +69418*a(n-9) -496012*a(n-12) +1948488*a(n-15) -4564660*a(n-18) +6732956*a(n-21) -6502868*a(n-24) +4253029*a(n-27) -1930703*a(n-30) +601744*a(n-33) -118886*a(n-36) +12592*a(n-39) -528*a(n-42) for n>48

Example

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

Crossrefs

Sequence in context: A194618 A252546 A251257 * A237762 A237763 A237760

Adjacent sequences: A252273 A252274 A252275 * A252277 A252278 A252279

Keyword

nonn

Author

R. H. Hardin, Dec 16 2014

Status

approved