A299657 Number of nX4 0..1 arrays with every element equal to 0, 1, 2, 3, 4, 5 or 7 king-move adjacent elements, with upper left element zero.

8, 128, 1642, 22087, 297071, 4001253, 53909088, 726363190, 9787119222, 131873695060, 1776895917925, 23942305066780, 322604164546039, 4346843339949429, 58570375761901837, 789190834365996749

Offset

1,1

Comments

Column 4 of A299661.

Links

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

Formula

Empirical: a(n) = 13*a(n-1) +12*a(n-2) -39*a(n-3) -468*a(n-4) -404*a(n-5) +675*a(n-6) +2723*a(n-7) +3026*a(n-8) +5750*a(n-9) +19747*a(n-10) +17630*a(n-11) -28280*a(n-12) -73625*a(n-13) -44638*a(n-14) +24870*a(n-15) +47548*a(n-16) +29679*a(n-17) +4247*a(n-18) -10854*a(n-19) -4557*a(n-20) -2325*a(n-21) -2645*a(n-22) -403*a(n-23) +60*a(n-24)

Example

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

Crossrefs

Cf. A299661.

Sequence in context: A320367 A317561 A302737 * A300211 A302743 A300800

Adjacent sequences: A299654 A299655 A299656 * A299658 A299659 A299660

Keyword

nonn

Author

R. H. Hardin, Feb 15 2018

Status

approved