A205222 Number of (n+1)X5 0..1 arrays with the number of equal 2X2 subblock diagonal pairs and equal antidiagonal pairs differing from each horizontal or vertical neighbor, and new values 0..1 introduced in row major order

132, 340, 824, 2144, 5424, 14072, 35928, 92736, 237864, 612368, 1573928, 4047688, 10411512, 26767752, 68864896, 177055904, 455490384, 1171235368, 3012822192, 7747956384, 19928887784, 51254241064, 131827156016, 339054785000

Offset

1,1

Comments

Column 4 of A205226

Links

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

Formula

Empirical: a(n) = a(n-1) +16*a(n-2) -13*a(n-3) -98*a(n-4) +63*a(n-5) +280*a(n-6) -128*a(n-7) -352*a(n-8) +52*a(n-9) +150*a(n-10) +104*a(n-11) -72*a(n-12) +16*a(n-13) -8*a(n-14) for n>16

Example

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

Crossrefs

Sequence in context: A063365 A116869 A035141 * A116154 A305067 A278128

Adjacent sequences: A205219 A205220 A205221 * A205223 A205224 A205225

Keyword

nonn

Author

R. H. Hardin Jan 23 2012

Status

approved