A296734 Number of nX3 0..1 arrays with each 1 adjacent to 1, 2 or 4 king-move neighboring 1s.

4, 31, 126, 575, 2832, 13322, 62874, 299056, 1418177, 6723333, 31896327, 151295253, 717601109, 3403806391, 16145223273, 76580830416, 363243440911, 1722961426119, 8172464117705, 38764179352078, 183868863324799, 872139110880993

Offset

1,1

Comments

Column 3 of A296739.

Links

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

Formula

Empirical: a(n) = 4*a(n-1) +3*a(n-2) +14*a(n-3) -42*a(n-4) -56*a(n-5) -51*a(n-6) +118*a(n-7) +189*a(n-8) +60*a(n-9) -114*a(n-10) -187*a(n-11) -25*a(n-12) +82*a(n-13) +33*a(n-14) -12*a(n-15) -4*a(n-16)

Example

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

Crossrefs

Cf. A296739.

Sequence in context: A211629 A263760 A297501 * A220284 A059938 A263761

Adjacent sequences: A296731 A296732 A296733 * A296735 A296736 A296737

Keyword

nonn

Author

R. H. Hardin, Dec 19 2017

Status

approved