A204568 Number of (n+1)X5 0..3 arrays with every 2X2 subblock having equal diagonal elements or equal antidiagonal elements, and new values 0..3 introduced in row major order

1682, 80518, 4220392, 226207388, 12184154082, 657035534014, 35439471578008, 1911668983879844, 103120042408983914, 5562564379359047286, 300059383373323671216, 16185997942290302282060, 873115606316546208696882

Offset

1,1

Comments

Column 4 of A204572

Links

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

Formula

Empirical: a(n) = 66*a(n-1) -371*a(n-2) -20540*a(n-3) +324789*a(n-4) -1657430*a(n-5) +2548727*a(n-6) +4497416*a(n-7) -19534224*a(n-8) +23561568*a(n-9) -10191744*a(n-10) -1130112*a(n-11) +1975104*a(n-12) -373248*a(n-13)

Example

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

Crossrefs

Sequence in context: A069331 A156175 A031760 * A035766 A107562 A031539

Adjacent sequences: A204565 A204566 A204567 * A204569 A204570 A204571

Keyword

nonn

Author

R. H. Hardin Jan 16 2012

Status

approved