A317425 - OEIS

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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.

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

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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