A279738 Number of nX5 0..1 arrays with no element equal to a strict majority of its horizontal and antidiagonal neighbors, with the exception of exactly one element, and with new values introduced in order 0 sequentially upwards.

5, 26, 286, 2948, 29140, 281350, 2672708, 25057618, 232453138, 2137856646, 19520180011, 177142880376, 1599086960917, 14369091541568, 128599776050102, 1146851081407532, 10195271184154052, 90377052821887506, 799110404458844621

Offset

1,1

Comments

Column 5 of A279741.

Links

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

Formula

Empirical: a(n) = 35*a(n-1) -537*a(n-2) +4917*a(n-3) -31037*a(n-4) +147039*a(n-5) -550776*a(n-6) +1684140*a(n-7) -4287367*a(n-8) +9195097*a(n-9) -16722579*a(n-10) +25851599*a(n-11) -33949278*a(n-12) +37773854*a(n-13) -35490491*a(n-14) +28069727*a(n-15) -18639724*a(n-16) +10365480*a(n-17) -4808439*a(n-18) +1847719*a(n-19) -580867*a(n-20) +146321*a(n-21) -28520*a(n-22) +4040*a(n-23) -368*a(n-24) +16*a(n-25) for n>26

Example

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

Crossrefs

Cf. A279741.

Sequence in context: A048690 A203198 A197784 * A106296 A295114 A060516

Adjacent sequences: A279735 A279736 A279737 * A279739 A279740 A279741

Keyword

nonn

Author

R. H. Hardin, Dec 18 2016

Status

approved