A281712 Number of nX5 0..1 arrays with no element unequal to a strict majority of its horizontal, diagonal and antidiagonal neighbors and with new values introduced in order 0 sequentially upwards.

3, 29, 90, 294, 937, 3166, 10738, 37285, 129586, 452042, 1578499, 5515546, 19279612, 67403955, 235679364, 824104430, 2881741245, 10077105830, 35238715476, 123227200603, 430917662802, 1506893871278, 5269524537393, 18427245321410

Offset

1,1

Comments

Column 5 of A281715.

Links

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

Formula

Empirical: a(n) = 5*a(n-1) -2*a(n-2) -9*a(n-3) -17*a(n-4) +18*a(n-5) +45*a(n-6) +5*a(n-7) -46*a(n-8) -14*a(n-9) +102*a(n-10) -101*a(n-11) +167*a(n-12) -132*a(n-13) -151*a(n-14) +2*a(n-15) -214*a(n-16) +40*a(n-17) -115*a(n-18) -55*a(n-19) -37*a(n-20) -17*a(n-21) -2*a(n-22) -15*a(n-23) +4*a(n-24) for n>28

Example

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

Crossrefs

Cf. A281715.

Sequence in context: A288918 A190942 A106943 * A106942 A211621 A100202

Adjacent sequences: A281709 A281710 A281711 * A281713 A281714 A281715

Keyword

nonn

Author

R. H. Hardin, Jan 28 2017

Status

approved