A296830 Number of nX4 0..1 arrays with each 1 adjacent to 0, 3 or 5 king-move neighboring 1s.

8, 31, 132, 573, 2441, 10485, 44951, 192730, 826498, 3544082, 15198081, 65172170, 279476178, 1198478073, 5139392105, 22039266498, 94511169171, 405291983276, 1738017670081, 7453162043129, 31961457203015, 137060728087293

Offset

1,1

Comments

Column 4 of A296834.

Links

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

Formula

Empirical: a(n) = 4*a(n-1) +4*a(n-2) +36*a(n-3) -191*a(n-4) -172*a(n-5) -244*a(n-6) +2863*a(n-7) +2250*a(n-8) -298*a(n-9) -20536*a(n-10) -14014*a(n-11) +8348*a(n-12) +80613*a(n-13) +48318*a(n-14) -35241*a(n-15) -180959*a(n-16) -99366*a(n-17) +73461*a(n-18) +228573*a(n-19) +126168*a(n-20) -72901*a(n-21) -147112*a(n-22) -104887*a(n-23) +8884*a(n-24) +27889*a(n-25) +61467*a(n-26) +45033*a(n-27) +30859*a(n-28) -18608*a(n-29) -33443*a(n-30) -35278*a(n-31) -15633*a(n-32) +3073*a(n-33) +19582*a(n-34) +23473*a(n-35) +7766*a(n-36) -5789*a(n-37) -12917*a(n-38) -5489*a(n-39) +331*a(n-40) +3658*a(n-41) +2145*a(n-42) +389*a(n-43) -593*a(n-44) -675*a(n-45) -214*a(n-46) +38*a(n-47) +148*a(n-48) +72*a(n-49) +24*a(n-50)

Example

Some solutions for n=7
..1..0..0..0. .0..1..0..0. .0..0..1..0. .1..0..1..1. .1..0..0..1
..0..0..0..1. .0..0..0..0. .0..0..0..0. .0..0..1..1. .0..0..0..0
..0..1..0..0. .0..0..0..1. .0..0..0..1. .0..0..0..0. .1..0..0..0
..0..0..0..0. .0..0..0..0. .0..0..0..0. .1..0..0..0. .0..0..0..1
..0..0..0..0. .1..0..0..1. .0..0..0..1. .0..0..0..1. .1..1..0..0
..1..1..1..1. .0..0..0..0. .0..1..0..0. .0..0..0..0. .1..1..0..0
..1..1..1..1. .0..0..0..0. .0..0..0..0. .0..0..0..1. .0..0..0..1

Crossrefs

Cf. A296834.

Sequence in context: A034556 A121097 A121093 * A232621 A303176 A209484

Adjacent sequences: A296827 A296828 A296829 * A296831 A296832 A296833

Keyword

nonn

Author

R. H. Hardin, Dec 21 2017

Status

approved