A209738 Number of n X 2 0..5 arrays with every 2 X 2 subblock containing exactly one value repeat, and new values 0..5 introduced in row major order.

2, 6, 57, 700, 10594, 183240, 3412100, 65953664, 1298076552, 25767620512, 513555943312, 10254450363264, 204934235829536, 4097247120151424, 81931587030997056, 1638507658307430400, 32769000295781617792

Offset

1,1

Comments

Column 2 of A209744.

Links

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

Formula

Empirical: a(n) = 32*a(n-1) - 258*a(n-2) + 296*a(n-3) + 1256*a(n-4) + 480*a(n-5) for n>6.

Empirical g.f.: x*(2 - 58*x + 381*x^2 - 168*x^3 - 1388*x^4 - 536*x^5) / ((1 - 20*x)*(1 - 4*x - 2*x^2)*(1 - 8*x - 12*x^2)). - Colin Barker, Jul 12 2018

Example

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

Crossrefs

Cf. A209744.

Sequence in context: A248377 A326968 A209497 * A209459 A209521 A357026

Adjacent sequences: A209735 A209736 A209737 * A209739 A209740 A209741

Keyword

nonn

Author

R. H. Hardin, Mar 12 2012

Status

approved