A205628 Number of 4X(n+1) 0..2 arrays with every 2X2 subblock in a row having an equal number of equal diagonal or equal antidiagonal elements, adjacent rows differing in this number, and new values 0..2 introduced in row major order

396, 2052, 13068, 94116, 708300, 5439324, 42094188, 327077484, 2547102732, 19867584972, 155171240076, 1213352429196, 9498114849804, 74428751347980, 583820737433100, 4583937157350924, 36024984866070540, 283374615043095564

Offset

1,1

Comments

Row 3 of A205626

Links

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

Formula

Empirical: a(n) = 23*a(n-1) -174*a(n-2) +284*a(n-3) +2352*a(n-4) -10052*a(n-5) -1168*a(n-6) +65760*a(n-7) -78080*a(n-8) -116928*a(n-9) +255232*a(n-10) -49664*a(n-11) -116736*a(n-12) +49152*a(n-13)

Example

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

Crossrefs

Sequence in context: A126078 A275171 A028299 * A203934 A203927 A205330

Adjacent sequences: A205625 A205626 A205627 * A205629 A205630 A205631

Keyword

nonn

Author

R. H. Hardin Jan 29 2012

Status

approved