A203824 Number of (n+1)X7 0..3 arrays with no 2X2 subblock having equal diagonal elements or equal antidiagonal elements

8503056, 5292994896, 3294791304336, 2056114528873776, 1283572086126147216, 801390350388172407408, 500356074758382054639504, 312404527128988880482773744, 195054597997333792597519483536

Offset

1,1

Comments

Column 6 of A203826

Links

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

Formula

Empirical: a(n) = 678*a(n-1) -22734242*a(n-3) +910406337*a(n-4) +156697421244*a(n-5) -7894318906376*a(n-6) -298701635031072*a(n-7) +19095213955176408*a(n-8) -23161522711676608*a(n-9) -8870593536889707168*a(n-10) +74637360576235233504*a(n-11) +1149506147738408857488*a(n-12) -14956375338761404032576*a(n-13) +524896293102578305429248*a(n-15) -1594233946756949214802176*a(n-16)

Example

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

Crossrefs

Sequence in context: A205179 A339866 A251173 * A081639 A141137 A184150

Adjacent sequences: A203821 A203822 A203823 * A203825 A203826 A203827

Keyword

nonn

Author

R. H. Hardin Jan 06 2012

Status

approved