|
%I #5 Jan 21 2018 06:44:32
%S 1,7,4,14,16,51,104,262,689,1784,4767,12968,35155,96254,264440,726815,
%T 2002456,5521018,15227274,42020683,115979875,320151219,883859925,
%U 2440243349,6737508423,18602828041,51364692406,141825760260,391605586640
%N Number of nX3 0..1 arrays with every element equal to 0, 2, 3, 5 or 7 king-move adjacent elements, with upper left element zero.
%C Column 3 of A298554.
%H R. H. Hardin, <a href="/A298549/b298549.txt">Table of n, a(n) for n = 1..210</a>
%F Empirical: a(n) = 4*a(n-1) -a(n-2) -7*a(n-3) -5*a(n-4) +13*a(n-5) +19*a(n-6) -27*a(n-7) +a(n-8) +3*a(n-9) -55*a(n-10) +37*a(n-11) +55*a(n-12) -23*a(n-13) -a(n-14) +9*a(n-15) -16*a(n-16) -11*a(n-17) +4*a(n-18) +2*a(n-19) for n>20
%e Some solutions for n=7
%e .0..0..1. .0..1..1.. .0..1..0. .0..0..0. .0..0..1. .0..1..1. .0..1..0.
%e .1..0..0. .1..1..0.. .0..0..0. .1..0..1. .1..0..0. .1..1..0. .0..0..0.
%e .1..1..1. .0..0..0.. .1..1..0. .1..1..1. .0..0..1. .0..0..0. .1..1..0.
%e .0..1..1. .0..0..1.. .1..1..0. .0..0..1. .1..0..0. .0..1..0. .0..1..0.
%e .1..1..1. .0..0..0.. .0..0..0. .1..0..0. .0..0..1. .1..1..1. .0..0..1.
%e .1..0..0. .1..1..0.. .0..1..0. .1..1..1. .1..1..1. .0..0..0. .1..1..1.
%e .0..0..1. .0..1..1.. .1..1..1. .1..0..1. .1..0..1. .1..0..1. .1..0..1.
%Y Cf. A298554.
%K nonn
%O 1,2
%A _R. H. Hardin_, Jan 21 2018
| 