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A206190 Number of (n+1) X 2 0..3 arrays with the number of clockwise edge increases in every 2 X 2 subblock equal to two. 1
124, 1012, 8304, 68180, 559788, 4596072, 37735460, 309822148, 2543754976, 20885173732, 171475038268, 1407873792488, 11559167069396, 94905057577684, 779205793959872, 6397569158457620, 52526420432849004, 431261433077432552 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

Column 1 of A206197.

LINKS

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

FORMULA

Empirical: a(n) = 9*a(n-1) - 7*a(n-2) + 4*a(n-3) + 2*a(n-4).

Empirical g.f.: 4*x*(31 - 26*x + 16*x^2 + 8*x^3) / (1 - 9*x + 7*x^2 - 4*x^3 - 2*x^4). - Colin Barker, Jun 14 2018

EXAMPLE

Some solutions for n=4:

2 0 1 1 3 3 2 3 0 1 3 0 2 3 3 3 2 0 0 1

1 0 3 2 1 0 3 0 0 2 1 0 0 1 1 0 2 1 0 2

0 1 0 3 2 1 1 2 1 3 0 3 2 0 2 1 1 2 3 2

0 3 1 0 1 3 3 2 3 0 2 0 0 1 0 2 0 1 1 3

1 0 2 1 1 0 0 3 0 3 1 1 3 0 0 3 1 2 0 3

CROSSREFS

Cf. A206197.

Sequence in context: A206085 A206078 A206197 * A251381 A251374 A209730

Adjacent sequences: A206187 A206188 A206189 * A206191 A206192 A206193

KEYWORD

nonn

AUTHOR

R. H. Hardin, Feb 04 2012

STATUS

approved

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Last modified November 27 10:30 EST 2022. Contains 358368 sequences. (Running on oeis4.)