A242319 Number of length n+4+2 0..4 arrays with every value 0..4 appearing at least once in every consecutive 4+3 elements, and new values 0..4 introduced in order

140, 440, 1300, 3648, 10012, 27368, 75236, 208976, 577964, 1596216, 4408020, 12176768, 33645500, 92967176, 256849892, 709617776, 1960543660, 5416680632, 14965468916, 41347189280, 114235439996, 315613828040, 871989852740

Offset

1,1

Comments

Column 4 of A242322

Links

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

Formula

Empirical: a(n) = a(n-1) +2*a(n-2) +4*a(n-3) +6*a(n-4) +10*a(n-5) +12*a(n-6) -4*a(n-7) -6*a(n-8) -6*a(n-9) -2*a(n-11) -2*a(n-12) +a(n-14) +a(n-15)

Example

Some solutions for n=5
..0....0....0....0....0....0....0....0....0....0....0....0....0....0....0....0
..1....1....1....1....1....1....1....0....1....1....1....0....0....1....1....1
..0....2....2....2....0....0....1....1....2....2....2....1....1....0....2....2
..2....1....2....3....2....2....2....2....3....2....0....2....2....2....0....0
..3....3....3....3....3....3....3....2....1....3....3....1....0....3....3....3
..2....0....4....0....4....0....4....3....4....4....4....3....3....2....4....1
..4....4....1....4....0....4....0....4....0....1....1....4....4....4....1....4
..3....1....0....2....0....1....2....0....3....0....0....2....1....1....2....0
..1....2....2....1....1....2....1....1....2....1....2....0....2....0....0....0
..0....2....0....4....2....0....2....2....1....2....3....4....2....0....1....2
..3....1....4....4....0....3....4....3....1....4....0....1....4....4....4....3

Crossrefs

Sequence in context: A196447 A255783 A255776 * A010080 A350210 A250801

Adjacent sequences: A242316 A242317 A242318 * A242320 A242321 A242322

Keyword

nonn

Author

R. H. Hardin, May 10 2014

Status

approved