A233686 Number of (n+1)X(3+1) 0..3 arrays with every 2X2 subblock having the sum of the squares of the edge differences equal to 10, and no two adjacent values equal

356, 2628, 19248, 145512, 1095164, 8284072, 62569964, 473123164, 3575792884, 27033634800, 204346864164, 1544799897832, 11677617006096, 88277308600968, 667323988066868, 5044620581563464, 38134490738693688, 288276154246399008

Offset

1,1

Comments

Column 3 of A233691

Links

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

Formula

Empirical: a(n) = 7*a(n-1) +30*a(n-2) -198*a(n-3) -190*a(n-4) +1708*a(n-5) +65*a(n-6) -6015*a(n-7) +1916*a(n-8) +9134*a(n-9) -3808*a(n-10) -5930*a(n-11) +2155*a(n-12) +1461*a(n-13) -312*a(n-14) -112*a(n-15)

Example

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

Crossrefs

Sequence in context: A232298 A108375 A237466 * A231078 A232851 A223428

Adjacent sequences: A233683 A233684 A233685 * A233687 A233688 A233689

Keyword

nonn

Author

R. H. Hardin, Dec 14 2013

Status

approved