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

2160, 13800, 113592, 1103436, 11438856, 122380932, 1324746888, 14418999468, 157281072552, 1717379549940, 18760509418824, 204981602681196, 2239884904433832, 24476909019027348, 267483250454567880

Offset

1,1

Comments

Row 4 of A205626

Links

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

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

Adjacent sequences: A205626 A205627 A205628 * A205630 A205631 A205632

Keyword

nonn

Author

R. H. Hardin Jan 29 2012

Status

approved