A279899 Number of nX5 0..2 arrays with no element unequal to a strict majority of its king-move neighbors, with the exception of exactly one element, and with new values introduced in order 0 sequentially upwards.

8, 18, 43, 156, 601, 2006, 7383, 25400, 89693, 315334, 1103371, 3871860, 13540353, 47310262, 165104587, 575109252, 2000994373, 6951376238, 24117548401, 83567966688, 289210301055, 999751444526, 3452205326385, 11908457582008

Offset

1,1

Comments

Column 5 of A279902.

Links

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

Formula

Empirical: a(n) = 4*a(n-1) +16*a(n-2) -56*a(n-3) -146*a(n-4) +316*a(n-5) +814*a(n-6) -868*a(n-7) -2325*a(n-8) +1214*a(n-9) +2214*a(n-10) -1932*a(n-11) +3703*a(n-12) +4994*a(n-13) -12996*a(n-14) -3398*a(n-15) +12908*a(n-16) -8904*a(n-17) +2591*a(n-18) +12692*a(n-19) -11884*a(n-20) -3456*a(n-21) +4880*a(n-22) +192*a(n-23) -576*a(n-24) for n>27

Example

Some solutions for n=4
..0..1..2..2..2. .0..1..1..1..1. .0..0..0..0..0. .0..0..0..0..0
..0..0..2..2..2. .0..0..1..1..1. .1..0..0..0..0. .0..0..1..0..0
..0..0..0..2..2. .0..0..1..1..1. .2..2..2..2..2. .1..1..1..1..1
..0..0..0..2..2. .0..0..1..1..1. .2..2..2..2..2. .1..1..1..1..1

Crossrefs

Cf. A279902.

Sequence in context: A300524 A082194 A211527 * A192311 A300161 A034714

Adjacent sequences: A279896 A279897 A279898 * A279900 A279901 A279902

Keyword

nonn

Author

R. H. Hardin, Dec 22 2016

Status

approved