cp's OEIS Frontend

A304010 T(n,k)=Number of nXk 0..1 arrays with every element unequal to 0, 2, 3 or 5 king-move adjacent elements, with upper left element zero.

%I A304010 #4 May 04 2018 11:22:43
%S A304010 1,1,1,1,4,1,1,7,7,1,1,13,13,13,1,1,26,21,21,26,1,1,49,27,26,27,49,1,
%T A304010 1,99,53,64,64,53,99,1,1,194,99,115,137,115,99,194,1,1,387,197,211,
%U A304010 271,271,211,197,387,1,1,773,371,439,655,538,655,439,371,773,1,1,1538,713,870
%N A304010 T(n,k)=Number of nXk 0..1 arrays with every element unequal to 0, 2, 3 or 5 king-move adjacent elements, with upper left element zero.
%C A304010 Table starts
%C A304010 .1...1...1...1....1....1.....1.....1......1......1.......1.......1........1
%C A304010 .1...4...7..13...26...49....99...194....387....773....1538....3081.....6147
%C A304010 .1...7..13..21...27...53....99...197....371....713....1365....2645.....5105
%C A304010 .1..13..21..26...64..115...211...439....870...1725....3513....7141....14372
%C A304010 .1..26..27..64..137..271...655..1412...3245...7809...17290...40682....93292
%C A304010 .1..49..53.115..271..538..1458..2973...7826..19113...47074..115148...283156
%C A304010 .1..99..99.211..655.1458..4224.10633..28365..75175..201031..544217..1452266
%C A304010 .1.194.197.439.1412.2973.10633.30468..84398.254233..751747.2193664..6512888
%C A304010 .1.387.371.870.3245.7826.28365.84398.264104.857398.2706019.8591303.27513653
%H A304010 R. H. Hardin, <a href="/A304010/b304010.txt">Table of n, a(n) for n = 1..264</a>
%F A304010 Empirical for column k:
%F A304010 k=1: a(n) = a(n-1)
%F A304010 k=2: a(n) = a(n-1) +3*a(n-2) -4*a(n-4) for n>5
%F A304010 k=3: [order 16] for n>17
%F A304010 k=4: [order 67] for n>70
%e A304010 Some solutions for n=5 k=4
%e A304010 ..0..0..1..1. .0..1..0..1. .0..0..0..1. .0..1..1..1. .0..1..1..0
%e A304010 ..0..0..1..1. .1..1..0..0. .0..0..0..1. .1..1..0..0. .1..1..0..1
%e A304010 ..0..0..0..0. .0..1..0..1. .0..0..0..1. .1..0..1..0. .0..0..0..1
%e A304010 ..1..1..0..0. .0..0..1..1. .0..0..0..1. .0..0..1..1. .0..0..1..1
%e A304010 ..1..1..0..0. .1..0..0..0. .0..0..0..1. .1..0..1..0. .0..0..1..0
%K A304010 nonn,tabl
%O A304010 1,5
%A A304010 _R. H. Hardin_, May 04 2018