A205625 Number of (n+1)X8 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

49154, 1284960, 42094188, 1324746888, 43439036364, 1367618567424, 44843430265344, 1412066783037696, 46294475000952672, 1457966169381319680, 47792560548918834432, 1505356985323702193664, 49339149731535883131648

Offset

1,1

Comments

Column 7 of A205626

Links

R. H. Hardin, Table of n, a(n) for n = 1..66

Formula

Empirical: a(n) = 1032*a(n-2) +144*a(n-3) -3000*a(n-4) -29184*a(n-5) -260224*a(n-6) -294912*a(n-7) -12539904*a(n-8) -218824704*a(n-10) -2415919104*a(n-12) for n>13

Example

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

Crossrefs

Sequence in context: A331355 A204627 A079400 * A205360 A045085 A304020

Adjacent sequences: A205622 A205623 A205624 * A205626 A205627 A205628

Keyword

nonn

Author

R. H. Hardin Jan 29 2012

Status

approved