A206378 Number of (n+1)X4 0..3 arrays with every 2X2 subblock having the same number of equal diagonal or antidiagonal elements, and new values 0..3 introduced in row major order

641, 25945, 1198601, 57656713, 2808967145, 137393517193, 6728546532521, 329641979105737, 16151593118685929, 791414923478310409, 38779131391953424169, 1900174398169760171593, 93108499268211138032489

Offset

1,1

Comments

Column 3 of A206383

Links

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

Formula

Empirical: a(n) = 74*a(n-1) -1401*a(n-2) +9064*a(n-3) -21992*a(n-4) +21312*a(n-5) -7056*a(n-6)

Example

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

Crossrefs

Sequence in context: A259997 A256806 A206164 * A229851 A268840 A230715

Adjacent sequences: A206375 A206376 A206377 * A206379 A206380 A206381

Keyword

nonn

Author

R. H. Hardin Feb 07 2012

Status

approved