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A316541 Number of nX4 0..1 arrays with every element unequal to 0, 1, 2, 4, 7 or 8 king-move adjacent elements, with upper left element zero. 1
8, 24, 53, 136, 568, 1874, 5966, 20721, 70789, 236314, 800508, 2719171, 9182336, 31042624, 105124746, 355650499, 1202909216, 4070383698, 13772369477, 46593368184, 157641684416, 533368598291, 1804551554347, 6105385347563 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

Column 4 of A316545.

LINKS

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

FORMULA

Empirical: a(n) = 2*a(n-1) +6*a(n-2) +8*a(n-3) -22*a(n-4) -78*a(n-5) -37*a(n-6) +165*a(n-7) +272*a(n-8) +4*a(n-9) -272*a(n-10) -162*a(n-11) -198*a(n-12) -557*a(n-13) +150*a(n-14) +1097*a(n-15) +302*a(n-16) -192*a(n-17) +80*a(n-18) -71*a(n-19) -217*a(n-20) -961*a(n-21) -322*a(n-22) +1046*a(n-23) -296*a(n-24) +409*a(n-25) +939*a(n-26) -1258*a(n-27) -418*a(n-28) +724*a(n-29) -278*a(n-30) -106*a(n-31) +314*a(n-32) -72*a(n-34) for n>38

EXAMPLE

Some solutions for n=5

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

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

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

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

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

CROSSREFS

Cf. A316545.

Sequence in context: A122655 A280231 A212972 * A152134 A279018 A011925

Adjacent sequences:  A316538 A316539 A316540 * A316542 A316543 A316544

KEYWORD

nonn

AUTHOR

R. H. Hardin, Jul 06 2018

STATUS

approved

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Last modified October 26 08:00 EDT 2021. Contains 348267 sequences. (Running on oeis4.)