A281717 Number of 3 X n 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.

4, 4, 8, 38, 90, 305, 902, 2710, 8376, 25226, 77145, 235122, 715882, 2186483, 6666846, 20353268, 62140942, 189739429, 579567532, 1770391431, 5409031357, 16528102350, 50508922108, 154369025240, 471828803722, 1442250315610, 4408832591287

Offset

1,1

Comments

Row 3 of A281715.

Links

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

Formula

Empirical: a(n) = 3*a(n-1) +8*a(n-2) -16*a(n-3) -46*a(n-4) +39*a(n-5) +121*a(n-6) -66*a(n-7) -185*a(n-8) +78*a(n-9) +216*a(n-10) -71*a(n-11) -182*a(n-12) +51*a(n-13) +107*a(n-14) -24*a(n-15) -43*a(n-16) +7*a(n-17) +10*a(n-18) -a(n-19) -a(n-20) for n>21.

Example

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

Crossrefs

Cf. A281715.

Sequence in context: A096252 A102369 A298569 * A205971 A118016 A201989

Adjacent sequences: A281714 A281715 A281716 * A281718 A281719 A281720

Keyword

nonn

Author

R. H. Hardin, Jan 28 2017

Status

approved