A206379 Number of (n+1)X5 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

5257, 520097, 57656713, 6554439373, 748963157161, 85678539791333, 9803619036105721, 1121819841273065957, 128370307988576256937, 14689502396007272718677, 1680930696757228231925017

Offset

1,1

Comments

Column 4 of A206383

Links

R. H. Hardin, Table of n, a(n) for n = 1..107

Formula

Empirical: a(n) = 160*a(n-1) -5537*a(n-2) +25556*a(n-3) +1495902*a(n-4) -23370552*a(n-5) +81849864*a(n-6) +544237824*a(n-7) -5119960320*a(n-8) +15199301376*a(n-9) -19180578816*a(n-10) +8497004544*a(n-11)

Example

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

Crossrefs

Sequence in context: A124658 A256745 A206165 * A234229 A143936 A204281

Adjacent sequences: A206376 A206377 A206378 * A206380 A206381 A206382

Keyword

nonn

Author

R. H. Hardin Feb 07 2012

Status

approved