A207096 Number of 0..4 arrays x(0..n-1) of n elements with each no smaller than the sum of its two previous neighbors modulo 5

5, 15, 45, 140, 441, 1382, 4322, 13511, 42238, 132051, 412840, 1290698, 4035218, 12615643, 39441343, 123308779, 385510576, 1205254047, 3768086810, 11780485818, 36830320820, 115145720853, 359989724116, 1125466066030, 3518638952555

Offset

1,1

Comments

Column 4 of A207100

Links

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

Formula

Empirical: a(n) = 3*a(n-1) +a(n-2) -2*a(n-3) +a(n-5) +2*a(n-8) -a(n-10) +3*a(n-11) -2*a(n-12) +a(n-13) -a(n-14) -2*a(n-15) +a(n-16) -2*a(n-17) +a(n-19) -3*a(n-21) +a(n-25)

Example

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

Crossrefs

Sequence in context: A005030 A200664 A099235 * A035069 A176611 A001869

Adjacent sequences: A207093 A207094 A207095 * A207097 A207098 A207099

Keyword

nonn

Author

R. H. Hardin Feb 15 2012

Status

approved