A298276 Number of nX4 0..1 arrays with every element equal to 1, 2, 3, 4 or 5 king-move adjacent elements, with upper left element zero.

2, 64, 873, 10679, 136006, 1735247, 22110710, 281745241, 3590209542, 45749262323, 582972434206, 7428684231520, 94662025639993, 1206256563831607, 15371051763807440, 195869800344171537, 2495924109630651509

Offset

1,1

Comments

Column 4 of A298280.

Links

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

Formula

Empirical: a(n) = 12*a(n-1) +14*a(n-2) -46*a(n-3) -129*a(n-4) -256*a(n-5) -263*a(n-6) +737*a(n-7) +3623*a(n-8) -2010*a(n-9) -5209*a(n-10) +2823*a(n-11) +8084*a(n-12) -7043*a(n-13) -13382*a(n-14) +7588*a(n-15) +12912*a(n-16) -2418*a(n-17) -9800*a(n-18) -2199*a(n-19) +3599*a(n-20) +4748*a(n-21) +2724*a(n-22) +581*a(n-23) -651*a(n-24) -412*a(n-25) -302*a(n-26) -332*a(n-27) -217*a(n-28) -77*a(n-29) -14*a(n-30) for n>32

Example

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

Crossrefs

Cf. A298280.

Sequence in context: A264481 A120121 A274656 * A299369 A299138 A299933

Adjacent sequences: A298273 A298274 A298275 * A298277 A298278 A298279

Keyword

nonn

Author

R. H. Hardin, Jan 16 2018

Status

approved