login
A205629
Number of 5X(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
1
2160, 13800, 113592, 1103436, 11438856, 122380932, 1324746888, 14418999468, 157281072552, 1717379549940, 18760509418824, 204981602681196, 2239884904433832, 24476909019027348, 267483250454567880
OFFSET
1,1
COMMENTS
Row 4 of A205626
LINKS
FORMULA
Empirical: a(n) = 19*a(n-1) -21*a(n-2) -1383*a(n-3) +5476*a(n-4) +38930*a(n-5) -219540*a(n-6) -522024*a(n-7) +4176096*a(n-8) +2940528*a(n-9) -44547552*a(n-10) +4418496*a(n-11) +279827584*a(n-12) -147694336*a(n-13) -1042856448*a(n-14) +791872512*a(n-15) +2285742080*a(n-16) -2019049472*a(n-17) -2838331392*a(n-18) +2692349952*a(n-19) +1810759680*a(n-20) -1778909184*a(n-21) -452984832*a(n-22) +452984832*a(n-23)
EXAMPLE
Some solutions for n=4
..0..1..1..1..0....0..1..2..0..1....0..1..1..2..1....0..1..2..0..2
..2..2..2..2..2....1..2..0..0..0....1..1..2..2..2....1..1..1..2..1
..2..2..2..2..2....0..2..1..1..1....2..0..0..1..0....2..2..0..0..0
..1..0..0..1..0....1..0..2..1..2....0..0..1..1..1....2..0..0..2..0
..2..1..0..0..2....1..0..2..1..0....1..2..2..2..2....2..1..1..2..0
CROSSREFS
Sequence in context: A152963 A179698 A075702 * A299796 A253715 A205331
KEYWORD
nonn
AUTHOR
R. H. Hardin Jan 29 2012
STATUS
approved