A280230 Number of nX5 0..1 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.

5, 14, 29, 116, 355, 1102, 3376, 9860, 29091, 84644, 244759, 704628, 2018512, 5761462, 16393387, 46508232, 131619423, 371638678, 1047214662, 2945399940, 8270156835, 23184841888, 64903418567, 181446963548, 506630797962

Offset

1,1

Comments

Column 5 of A280233.

Links

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

Formula

Empirical: a(n) = 4*a(n-1) +6*a(n-2) -28*a(n-3) -31*a(n-4) +78*a(n-5) +114*a(n-6) -90*a(n-7) -153*a(n-8) +66*a(n-9) -29*a(n-10) -246*a(n-11) +40*a(n-12) +278*a(n-13) -56*a(n-14) -114*a(n-15) +170*a(n-16) -24*a(n-17) -116*a(n-18) +40*a(n-19) +16*a(n-20) -4*a(n-21) -a(n-22) for n>25

Example

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

Crossrefs

Cf. A280233.

Sequence in context: A299291 A019262 A212919 * A076042 A231669 A256986

Adjacent sequences: A280227 A280228 A280229 * A280231 A280232 A280233

Keyword

nonn

Author

R. H. Hardin, Dec 29 2016

Status

approved