A305957 Number of nX4 0..1 arrays with every element unequal to 1, 2, 3, 4, 5 or 7 king-move adjacent elements, with upper left element zero.

2, 98, 919, 11142, 129452, 1510278, 17617201, 205511593, 2397335154, 27965475958, 326224891762, 3805497208288, 44392125456386, 517845804034411, 6040807323760914, 70467605157962627, 822023134648354173

Offset

1,1

Comments

Column 4 of A305961.

Links

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

Formula

Empirical: a(n) = 8*a(n-1) +51*a(n-2) +4*a(n-3) -939*a(n-4) -2682*a(n-5) -881*a(n-6) +9642*a(n-7) +15967*a(n-8) +762*a(n-9) -20458*a(n-10) -18411*a(n-11) +2932*a(n-12) -894*a(n-13) -17803*a(n-14) -18006*a(n-15) +6250*a(n-16) +7990*a(n-17) +12099*a(n-18) +7275*a(n-19) +12885*a(n-20) +15510*a(n-21) +15017*a(n-22) +3925*a(n-23) -4095*a(n-24) -2189*a(n-25) -850*a(n-26) +284*a(n-27) +36*a(n-28) for n>29

Example

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

Crossrefs

Cf. A305961.

Sequence in context: A258355 A304423 A316278 * A317218 A053997 A305688

Adjacent sequences: A305954 A305955 A305956 * A305958 A305959 A305960

Keyword

nonn

Author

R. H. Hardin, Jun 15 2018

Status

approved