A253037 Number of (n+2)X(1+2) 0..3 arrays with every consecutive three elements in every row, column, diagonal and antidiagonal having exactly two distinct values, and new values 0 upwards introduced in row major order

130, 341, 928, 2638, 7608, 22304, 65765, 195277, 582025, 1739571, 5208638, 15614748, 46850138, 140636244, 422341551, 1268587807, 3811207227, 11450967363, 34408283600, 103394858790, 310709678538, 933719999422, 2806003978481

Offset

1,1

Comments

Column 1 of A253044

Links

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

Formula

Empirical: a(n) = 4*a(n-1) +8*a(n-2) -32*a(n-3) -49*a(n-4) +35*a(n-5) +388*a(n-6) +333*a(n-7) -1470*a(n-8) -2015*a(n-9) +1827*a(n-10) +7705*a(n-11) +2724*a(n-12) -22079*a(n-13) -17133*a(n-14) +43082*a(n-15) +66963*a(n-16) -35868*a(n-17) -207245*a(n-18) -79740*a(n-19) +352817*a(n-20) +377343*a(n-21) -206023*a(n-22) -735286*a(n-23) -244312*a(n-24) +744588*a(n-25) +589880*a(n-26) -341664*a(n-27) -577644*a(n-28) +32392*a(n-29) +309128*a(n-30) +20704*a(n-31) -83712*a(n-32) -4480*a(n-33) +8832*a(n-34) for n>35

Example

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

Crossrefs

Sequence in context: A252361 A252082 A253044 * A281209 A253036 A187723

Adjacent sequences: A253034 A253035 A253036 * A253038 A253039 A253040

Keyword

nonn

Author

R. H. Hardin, Dec 26 2014

Status

approved