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A317425 Number of nX4 0..1 arrays with every element unequal to 0, 1, 3, 5, 6, 7 or 8 king-move adjacent elements, with upper left element zero. 1
5, 21, 32, 97, 279, 640, 1666, 4365, 11025, 28226, 72631, 185925, 475800, 1220158, 3127409, 8009375, 20525682, 52605367, 134773129, 345342596, 884980100, 2267571655, 5810363761, 14888942668, 38151102909, 97757875153, 250497703668 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

Column 4 of A317429.

LINKS

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

FORMULA

Empirical: a(n) = 2*a(n-1) +18*a(n-3) -28*a(n-4) -4*a(n-5) -129*a(n-6) +159*a(n-7) +41*a(n-8) +501*a(n-9) -497*a(n-10) -175*a(n-11) -1270*a(n-12) +972*a(n-13) +389*a(n-14) +2411*a(n-15) -1192*a(n-16) -426*a(n-17) -3509*a(n-18) +828*a(n-19) +91*a(n-20) +3754*a(n-21) -24*a(n-22) +367*a(n-23) -2841*a(n-24) -779*a(n-25) -650*a(n-26) +1159*a(n-27) +780*a(n-28) +393*a(n-29) -90*a(n-30) -257*a(n-31) -82*a(n-32) -35*a(n-33) +11*a(n-34) +11*a(n-35) +15*a(n-36) +18*a(n-37) -a(n-38) -3*a(n-39) -3*a(n-40) for n>41

EXAMPLE

Some solutions for n=5

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

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

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

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

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

CROSSREFS

Cf. A317429.

Sequence in context: A305645 A316921 A316423 * A074074 A006309 A273577

Adjacent sequences:  A317422 A317423 A317424 * A317426 A317427 A317428

KEYWORD

nonn

AUTHOR

R. H. Hardin, Jul 27 2018

STATUS

approved

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Last modified May 22 06:54 EDT 2022. Contains 353933 sequences. (Running on oeis4.)