A297763 - OEIS

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A297763

Number of 2Xn 0..1 arrays with every 1 horizontally, diagonally or antidiagonally adjacent to 2, 3 or 4 neighboring 1s.

1, 2, 12, 31, 78, 225, 733, 2305, 7156, 22388, 70737, 223576, 705927, 2229237, 7044181, 22263130, 70360408, 222365159, 702781362, 2221173901, 7020142785, 22187534409, 70124998492, 221634512416, 700490315089, 2213945357924

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OFFSET

1,2

COMMENTS

Row 2 of A297762.

LINKS

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

FORMULA

Empirical: a(n) = 4*a(n-1) -3*a(n-2) +a(n-3) +6*a(n-4) -18*a(n-5)

EXAMPLE

Some solutions for n=7

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

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

CROSSREFS

Cf. A297762.

Sequence in context: A085892 A101177 A117625 * A254962 A139323 A225525

Adjacent sequences: A297760 A297761 A297762 * A297764 A297765 A297766

KEYWORD

nonn

AUTHOR

R. H. Hardin, Jan 05 2018

STATUS

approved