

A286209


Number of n X 1 0..1 arrays with the number of 1's kingmove adjacent to some 0 two less than the number of 0's adjacent to some 1.


6



0, 0, 0, 0, 0, 0, 1, 3, 10, 24, 60, 134, 304, 656, 1420, 2996, 6312, 13112, 27167, 55825, 114412, 233282, 474563, 962159, 1947098, 3931288, 7925708, 15952866, 32072580, 64404708, 129213082, 259009006, 518818124, 1038549912, 2077775396, 4154785904, 8304424080
(list;
graph;
refs;
listen;
history;
text;
internal format)



OFFSET

0,8


LINKS

Alois P. Heinz, Table of n, a(n) for n = 0..3327 (terms n = 1..210 from R. H. Hardin)


EXAMPLE

All solutions for n=7
..0. .0. .0
..1. .0. .1
..0. .1. .0
..0. .0. .0
..0. .0. .1
..1. .1. .0
..0. .0. .0


MAPLE

b:= proc(n, t, h, c) option remember; `if`(abs(c2)>n, 0, `if`(n=0, 1,
b(n1, [1, 3, 1][t], 2, c`if`(h=3, 1, 0))+
b(n1, 2, [1, 3, 1][h], c+`if`(t=3, 1, 0))))
end:
a:= n> b(n, 1$2, 0):
seq(a(n), n=0..40); # Alois P. Heinz, Apr 29 2019


CROSSREFS

Column k=1 of A286216.
Column k=2 of A307796.
Sequence in context: A338706 A338710 A336516 * A293797 A179608 A340686
Adjacent sequences: A286206 A286207 A286208 * A286210 A286211 A286212


KEYWORD

nonn


AUTHOR

R. H. Hardin, May 04 2017


STATUS

approved



