A316689 - OEIS

A316689

Number of nX4 0..1 arrays with every element unequal to 0, 1, 2, 6, 7 or 8 king-move adjacent elements, with upper left element zero.

8, 5, 9, 23, 44, 125, 313, 773, 1964, 4948, 12456, 31393, 79085, 199281, 502100, 1265024, 3187400, 8030877, 20234253, 50981805, 128452324, 323644732, 815446408, 2054575929, 5176652093, 13042948233, 32862647844, 82799810200, 208620089912

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OFFSET

1,1

COMMENTS

Column 4 of A316693.

LINKS

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

FORMULA

Empirical: a(n) = a(n-1) +2*a(n-2) +5*a(n-3) +a(n-4) -2*a(n-5) -6*a(n-6) -4*a(n-7) for n>11

EXAMPLE

Some solutions for n=5

..0..0..0..0. .0..0..0..0. .0..0..0..0. .0..0..0..0. .0..0..0..0

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

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

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

..0..0..0..0. .0..0..0..0. .0..0..0..0. .0..0..0..0. .0..0..0..0

CROSSREFS

Cf. A316693.

Sequence in context: A070473 A154210 A198996 * A087462 A168204 A193681

Adjacent sequences: A316686 A316687 A316688 * A316690 A316691 A316692

KEYWORD

nonn

AUTHOR

R. H. Hardin, Jul 10 2018

STATUS

approved