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
Keywords
Examples
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
Links
- R. H. Hardin, Table of n, a(n) for n = 1..210
Crossrefs
Cf. A281715.
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.
Comments