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A297812 Number of nX6 0..1 arrays with every element equal to 2 or 3 king-move adjacent elements, with upper left element zero. 1
0, 5, 2, 27, 41, 83, 114, 275, 686, 1545, 3209, 6926, 15327, 34142, 75795, 168685, 375208, 834100, 1854569, 4127686, 9192789, 20481637, 45642156, 101730031, 226780797, 505643168, 1127586788, 2514869226, 5609551959, 12513571286 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,2

COMMENTS

Column 6 of A297814.

LINKS

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

FORMULA

Empirical: a(n) = 3*a(n-1) -5*a(n-3) +10*a(n-4) -15*a(n-5) -8*a(n-6) +14*a(n-7) -28*a(n-8) +19*a(n-9) +33*a(n-10) +9*a(n-11) +88*a(n-12) +64*a(n-13) -2*a(n-14) -4*a(n-15) -115*a(n-16) -183*a(n-17) -128*a(n-18) -94*a(n-19) -29*a(n-20) +47*a(n-21) +88*a(n-22) +186*a(n-23) +181*a(n-24) +78*a(n-25) +8*a(n-26) -45*a(n-27) -67*a(n-28) -63*a(n-29) -55*a(n-30) -29*a(n-31) -2*a(n-32) +a(n-33) +10*a(n-34) +16*a(n-35) +15*a(n-36) +4*a(n-37) -3*a(n-38) -3*a(n-39) -a(n-40) for n>49

EXAMPLE

Some solutions for n=7

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

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

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

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

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

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

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

CROSSREFS

Cf. A297814.

Sequence in context: A100080 A117734 A007572 * A224494 A095998 A328555

Adjacent sequences:  A297809 A297810 A297811 * A297813 A297814 A297815

KEYWORD

nonn

AUTHOR

R. H. Hardin, Jan 06 2018

STATUS

approved

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Last modified July 28 19:33 EDT 2021. Contains 346335 sequences. (Running on oeis4.)