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A295247 Number of n X 2 0..1 arrays with each 1 horizontally or vertically adjacent to 0, 1 or 3 1s. 3
4, 11, 35, 106, 327, 1003, 3082, 9465, 29073, 89296, 274273, 842425, 2587500, 7947475, 24410579, 74976810, 230290407, 707334323, 2172569202, 6673021201, 20496107521, 62953557440, 193361124321, 593906459281, 1824176827764 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

Column 2 of A295253.

LINKS

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

FORMULA

Empirical: a(n) = 2*a(n-1) + 3*a(n-2) + a(n-3) - a(n-5).

Empirical g.f.: x*(4 + 3*x + x^2 - x^3 - x^4) / ((1 + x)*(1 - 3*x - x^3 + x^4)). - Colin Barker, Feb 26 2018

EXAMPLE

Some solutions for n=7:

..0..0. .1..1. .1..1. .0..1. .0..0. .0..1. .0..1. .0..0. .0..1. .1..1

..0..0. .0..0. .0..0. .1..0. .0..1. .0..0. .1..0. .1..0. .0..0. .0..0

..0..0. .1..0. .1..0. .0..1. .0..0. .1..1. .0..0. .0..0. .1..1. .0..0

..0..1. .0..0. .0..0. .0..1. .0..0. .0..0. .1..0. .1..0. .0..0. .1..0

..1..0. .0..0. .0..0. .1..0. .0..1. .1..0. .0..1. .0..0. .0..0. .1..0

..1..1. .0..1. .0..0. .0..0. .0..0. .0..0. .1..1. .0..1. .1..0. .0..0

..1..0. .1..0. .1..1. .1..0. .1..0. .0..0. .0..1. .0..0. .0..0. .1..0

CROSSREFS

Cf. A295253.

Sequence in context: A119716 A000626 A036364 * A052550 A197626 A349185

Adjacent sequences:  A295244 A295245 A295246 * A295248 A295249 A295250

KEYWORD

nonn

AUTHOR

R. H. Hardin, Nov 18 2017

STATUS

approved

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Last modified January 26 03:23 EST 2022. Contains 350572 sequences. (Running on oeis4.)