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A298663 Number of nX4 0..1 arrays with every element equal to 0, 3, 4, 6 or 7 king-move adjacent elements, with upper left element zero. 1
1, 1, 1, 2, 2, 9, 13, 26, 74, 134, 325, 731, 1568, 3625, 8039, 17982, 40534, 90659, 203629, 456958, 1025608, 2302082, 5167454, 11602659, 26043008, 58476012, 131288529, 294749848, 661837914, 1485958282, 3336440686, 7491565617 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,4

COMMENTS

Column 4 of A298667.

LINKS

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

FORMULA

Empirical: a(n) = 2*a(n-1) +3*a(n-2) +3*a(n-3) -19*a(n-4) -10*a(n-5) -3*a(n-6) +49*a(n-7) +21*a(n-8) +26*a(n-9) -57*a(n-10) -45*a(n-11) -44*a(n-12) +15*a(n-13) +27*a(n-14) +41*a(n-15) -4*a(n-16) +13*a(n-17) +32*a(n-18) -27*a(n-19) -87*a(n-20) -5*a(n-21) +52*a(n-22) +48*a(n-23) +24*a(n-24) +18*a(n-25) -27*a(n-26) -46*a(n-27) +11*a(n-28) +56*a(n-29) +5*a(n-30) -34*a(n-31) -21*a(n-32) -3*a(n-33) -a(n-34) +6*a(n-35)

EXAMPLE

Some solutions for n=8

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

..1..1..1..1. .1..1..1..1. .1..1..1..1. .1..1..1..1. .1..1..1..1

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

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

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

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

..1..1..1..1. .1..1..1..1. .1..1..1..1. .1..1..1..1. .1..1..1..1

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

CROSSREFS

Cf. A298667.

Sequence in context: A248665 A066324 A143146 * A325936 A185755 A278458

Adjacent sequences:  A298660 A298661 A298662 * A298664 A298665 A298666

KEYWORD

nonn

AUTHOR

R. H. Hardin, Jan 24 2018

STATUS

approved

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Last modified April 22 19:11 EDT 2021. Contains 343177 sequences. (Running on oeis4.)