A300134 Number of nX4 0..1 arrays with every element equal to 0, 3, 4, 5, 6, 7 or 8 king-move adjacent elements, with upper left element zero.

1, 2, 17, 27, 204, 667, 3273, 13765, 61625, 274285, 1228282, 5529841, 24957788, 112961986, 512253158, 2326430359, 10578069580, 48139988666, 219231141289, 998905339724, 4553219524921, 20760813969392, 94682609907643

Offset

1,2

Comments

Column 4 of A300138.

Links

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

Formula

Empirical: a(n) = 4*a(n-1) +14*a(n-2) -31*a(n-3) -116*a(n-4) +19*a(n-5) +283*a(n-6) +152*a(n-7) +65*a(n-8) +179*a(n-9) -731*a(n-10) -1210*a(n-11) +271*a(n-12) +1279*a(n-13) +488*a(n-14) -481*a(n-15) -349*a(n-16) +435*a(n-17) +266*a(n-18) -478*a(n-19) -284*a(n-20) +202*a(n-21) +80*a(n-22) -93*a(n-23) -2*a(n-24) +46*a(n-25) +6*a(n-26) -8*a(n-27) -2*a(n-28) for n>29

Example

Some solutions for n=5
..0..1..1..0. .0..0..0..0. .0..1..1..1. .0..1..1..1. .0..1..1..0
..1..1..1..1. .0..0..0..0. .1..1..1..1. .1..1..1..1. .1..1..1..1
..1..1..1..0. .1..0..0..1. .1..1..1..1. .1..1..1..1. .0..1..1..1
..1..1..1..1. .0..0..0..0. .0..0..0..0. .1..1..0..0. .1..1..1..1
..0..1..1..0. .0..0..0..0. .0..0..0..0. .1..1..0..0. .0..1..1..0

Crossrefs

Cf. A300138.

Sequence in context: A164275 A284646 A270344 * A171605 A018759 A132146

Adjacent sequences: A300131 A300132 A300133 * A300135 A300136 A300137

Keyword

nonn

Author

R. H. Hardin, Feb 26 2018

Status

approved