A280066 Number of nX5 0..1 arrays with no element unequal to a strict majority of its horizontal, vertical and antidiagonal neighbors and with new values introduced in order 0 sequentially upwards.

3, 9, 39, 170, 790, 3729, 17468, 82769, 394904, 1890877, 9080800, 43650638, 210047292, 1011165147, 4869719373, 23456281889, 113000007399, 544411868911, 2623011742357, 12638188505237, 60894518951302, 293410920660702

Offset

1,1

Comments

Column 5 of A280069.

Links

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

Formula

Empirical: a(n) = 8*a(n-1) -4*a(n-2) -97*a(n-3) +176*a(n-4) +339*a(n-5) -1073*a(n-6) -47*a(n-7) +3377*a(n-8) -3342*a(n-9) -7621*a(n-10) +13813*a(n-11) +10465*a(n-12) -31408*a(n-13) -5811*a(n-14) +90585*a(n-15) -69504*a(n-16) -167596*a(n-17) +292370*a(n-18) -85078*a(n-19) -228536*a(n-20) +394124*a(n-21) -113838*a(n-22) -192578*a(n-23) +250274*a(n-24) -199426*a(n-25) -58314*a(n-26) +185492*a(n-27) -136476*a(n-28) +48376*a(n-29) +64368*a(n-30) -69640*a(n-31) +27472*a(n-32) +2400*a(n-33) -15956*a(n-34) +6480*a(n-35) for n>40

Example

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

Crossrefs

Cf. A280069.

Sequence in context: A330795 A180741 A121101 * A360876 A287063 A080635

Adjacent sequences: A280063 A280064 A280065 * A280067 A280068 A280069

Keyword

nonn

Author

R. H. Hardin, Dec 25 2016

Status

approved