A214239 Number of 0..7 colorings of a 1 X (n+1) array circular in the n+1 direction with new values 0..7 introduced in row major order.

1, 1, 4, 11, 41, 162, 715, 3424, 17686, 97493, 567986, 3462537, 21880951, 142148644, 942800317, 6349172750, 43233294236, 296737912815, 2048310985708, 14196341292463, 98674810415941, 687263739609206, 4793697038780159

Offset

1,3

Comments

Row 1 of A214238.

Links

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

Formula

Empirical: a(n) = 21*a(n-1) - 168*a(n-2) + 630*a(n-3) - 1029*a(n-4) + 189*a(n-5) + 1198*a(n-6) - 840*a(n-7).

Empirical g.f.: x*(1 - 20*x + 151*x^2 - 535*x^3 + 881*x^4 - 531*x^5) / ((1 - x)*(1 + x)*(1 - 2*x)*(1 - 3*x)*(1 - 4*x)*(1 - 5*x)*(1 - 7*x)).- Colin Barker, Mar 09 2018

Example

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

Crossrefs

Cf. A214238.

Sequence in context: A214167 A278988 A214188 * A278989 A000296 A032265

Adjacent sequences: A214236 A214237 A214238 * A214240 A214241 A214242

Keyword

nonn

Author

R. H. Hardin, Jul 08 2012

Status

approved