A296958 Number of nX3 0..1 arrays with each 1 adjacent to 2, 3 or 5 king-move neighboring 1s.

1, 16, 60, 177, 869, 3994, 16348, 71669, 320252, 1397642, 6126487, 27033698, 118937813, 522957359, 2302293383, 10134259558, 44597178254, 196288034748, 863967834742, 3802581182754, 16736484491069, 73664164496629

Offset

1,2

Comments

Column 3 of A296963.

Links

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

Formula

Empirical: a(n) = 6*a(n-1) -10*a(n-2) +35*a(n-3) -116*a(n-4) +105*a(n-5) -196*a(n-6) +548*a(n-7) -320*a(n-8) +279*a(n-9) -955*a(n-10) +520*a(n-11) +159*a(n-12) +545*a(n-13) -530*a(n-14) -236*a(n-15) +188*a(n-16) +22*a(n-17) +6*a(n-18) -40*a(n-19) +25*a(n-20) -2*a(n-21)

Example

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

Crossrefs

Cf. A296963.

Sequence in context: A292537 A258730 A187173 * A258731 A316125 A345894

Adjacent sequences: A296955 A296956 A296957 * A296959 A296960 A296961

Keyword

nonn

Author

R. H. Hardin, Dec 22 2017

Status

approved