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A298096 Number of nX4 0..1 arrays with every element equal to 3, 4, 5 or 6 king-move adjacent elements, with upper left element zero. 1
0, 2, 1, 3, 7, 20, 42, 121, 291, 782, 1987, 5247, 13553, 35592, 92599, 242445, 632707, 1654855, 4323102, 11303415, 29540495, 77227391, 201859196, 527690923, 1379374791, 3605831654, 9425790420, 24639842009, 64410102689, 168373214417 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,2

COMMENTS

Column 4 of A298100.

LINKS

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

FORMULA

Empirical: a(n) = 5*a(n-2) +8*a(n-3) +2*a(n-4) -15*a(n-5) -23*a(n-6) -22*a(n-7) -9*a(n-8) +5*a(n-9) +20*a(n-10) +24*a(n-11) +23*a(n-12) +8*a(n-13) -3*a(n-14) -4*a(n-15) -2*a(n-16)

EXAMPLE

Some solutions for n=7

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

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

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

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

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

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

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

CROSSREFS

Cf. A298100.

Sequence in context: A010758 A259419 A019224 * A053190 A135299 A092081

Adjacent sequences:  A298093 A298094 A298095 * A298097 A298098 A298099

KEYWORD

nonn

AUTHOR

R. H. Hardin, Jan 12 2018

STATUS

approved

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Last modified December 9 07:53 EST 2021. Contains 349627 sequences. (Running on oeis4.)