A203876 Number of (n+1)X7 0..3 arrays with no 2X2 subblock having equal diagonal elements or equal antidiagonal elements, and new values 0..3 introduced in row major order

354295, 220541455, 137282971015, 85671438703075, 53482170255256135, 33391264599507183643, 20848169781599252276647, 13016855297041203353448907, 8127274916555574691563311815, 5074392066627029759870699634571

Offset

1,1

Comments

Column 6 of A203878

Links

R. H. Hardin, Table of n, a(n) for n = 1..54

Formula

Empirical: a(n) = 679*a(n-1) -678*a(n-2) -22734242*a(n-3) +933140579*a(n-4) +155787014907*a(n-5) -8051016327620*a(n-6) -290807316124696*a(n-7) +19393915590207480*a(n-8) -42256736666853016*a(n-9) -8847432014178030560*a(n-10) +83507954113124940672*a(n-11) +1074868787162173623984*a(n-12) -16105881486499812890064*a(n-13) +14956375338761404032576*a(n-14) +524896293102578305429248*a(n-15) -2119130239859527520231424*a(n-16) +1594233946756949214802176*a(n-17)

Example

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

Crossrefs

Sequence in context: A237411 A235980 A169806 * A233752 A238382 A236945

Adjacent sequences: A203873 A203874 A203875 * A203877 A203878 A203879

Keyword

nonn

Author

R. H. Hardin Jan 07 2012

Status

approved