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A298377 Number of nX3 0..1 arrays with every element equal to 0, 2, 3, 5 or 6 king-move adjacent elements, with upper left element zero. 1
1, 7, 6, 18, 30, 87, 200, 522, 1421, 3805, 10578, 29465, 82498, 232593, 656577, 1858073, 5265011, 14930674, 42368708, 120274026, 341518697, 969915776, 2754886812, 7825418473, 22229715609, 63150286472, 179401787689, 509665128216 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,2

COMMENTS

Column 3 of A298382.

LINKS

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

FORMULA

Empirical: a(n) = 3*a(n-1) +3*a(n-2) -6*a(n-3) -16*a(n-4) +6*a(n-5) +23*a(n-6) +16*a(n-7) -13*a(n-8) -40*a(n-9) -50*a(n-10) +14*a(n-11) +106*a(n-12) +53*a(n-13) -18*a(n-14) -38*a(n-15) -34*a(n-16) -8*a(n-17) for n>18

EXAMPLE

Some solutions for n=7

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

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

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

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

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

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

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

CROSSREFS

Cf. A298382.

Sequence in context: A099255 A198460 A215334 * A299244 A249114 A275372

Adjacent sequences:  A298374 A298375 A298376 * A298378 A298379 A298380

KEYWORD

nonn

AUTHOR

R. H. Hardin, Jan 18 2018

STATUS

approved

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Last modified December 17 02:54 EST 2018. Contains 318192 sequences. (Running on oeis4.)