A217953 Number of n element 0..3 arrays with each element the minimum of 7 adjacent elements of a random 0..3 array of n+6 elements

4, 16, 50, 130, 296, 610, 1163, 2083, 3558, 5902, 9734, 16410, 28969, 54049, 105529, 211097, 423650, 840654, 1636964, 3121556, 5839194, 10760322, 19647966, 35780070, 65376302, 120393728, 223926347, 420463887, 795087960, 1508967508, 2864523898

Offset

1,1

Comments

Column 7 of A217954

Links

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

Formula

Empirical: a(n) = 4*a(n-1) -6*a(n-2) +4*a(n-3) -a(n-4) +6*a(n-8) -4*a(n-9) +6*a(n-10) +4*a(n-11) +5*a(n-12) +6*a(n-13) +7*a(n-14) +8*a(n-15) +4*a(n-16) +6*a(n-17) +5*a(n-18) +4*a(n-19) +3*a(n-20) +2*a(n-21) +a(n-22)

Example

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

Crossrefs

Sequence in context: A231156 A271483 A223659 * A217952 A217951 A217950

Adjacent sequences: A217950 A217951 A217952 * A217954 A217955 A217956

Keyword

nonn

Author

R. H. Hardin Oct 15 2012

Status

approved