# Greetings from The On-Line Encyclopedia of Integer Sequences! http://oeis.org/ Search: id:a282186 Showing 1-1 of 1 %I A282186 #4 Feb 08 2017 07:48:14 %S A282186 0,1,44,2919,122866,4446172,148868304,4745726158,146320129628, %T A282186 4402897631148,130046855804440,3785044372543552,108853806605395072, %U A282186 3099517720850200120,87515890176533294512,2453231879787924868752 %N A282186 Number of nX3 0..2 arrays with no element equal to more than four of its king-move neighbors, with the exception of exactly two elements, and with new values introduced in order 0 sequentially upwards. %C A282186 Column 3 of A282189. %H A282186 R. H. Hardin, Table of n, a(n) for n = 1..210 %F A282186 Empirical: a(n) = 66*a(n-1) -1206*a(n-2) -98*a(n-3) +91188*a(n-4) +644760*a(n-5) -13676*a(n-6) -18240000*a(n-7) -85727400*a(n-8) -8070328*a(n-9) +1357158816*a(n-10) +5154540288*a(n-11) +1290662368*a(n-12) -49451487744*a(n-13) -162002765184*a(n-14) -69484923264*a(n-15) +914711301120*a(n-16) +2709412494336*a(n-17) +1765040047616*a(n-18) -7617338824704*a(n-19) -22456039010304*a(n-20) -22101688217600*a(n-21) +12644626710528*a(n-22) +69535600017408*a(n-23) +105600502628352*a(n-24) +95452790390784*a(n-25) +55231541673984*a(n-26) +20060850880512*a(n-27) +3837602562048*a(n-28) +351629475840*a(n-29) +12230590464*a(n-30) for n>33 %e A282186 Some solutions for n=4 %e A282186 ..0..0..1. .0..1..1. .0..0..0. .0..0..0. .0..1..0. .0..0..1. .0..0..1 %e A282186 ..1..1..1. .2..1..1. .0..0..0. .0..0..0. .2..1..0. .0..0..0. .0..0..0 %e A282186 ..1..1..0. .1..1..0. .1..0..1. .1..2..2. .1..1..1. .2..0..0. .1..0..1 %e A282186 ..0..0..1. .1..1..0. .1..0..1. .2..2..0. .1..1..1. .0..2..1. .0..2..0 %Y A282186 Cf. A282189. %K A282186 nonn %O A282186 1,3 %A A282186 _R. H. Hardin_, Feb 08 2017 # Content is available under The OEIS End-User License Agreement: http://oeis.org/LICENSE