login
A163037
Number of nX2 binary arrays with all 1s connected and a path of 1s from left column to right column
2
1, 7, 28, 88, 245, 639, 1608, 3968, 9689, 23527, 56964, 137720, 332717, 803519, 1940176, 4684352, 11309425, 27303815, 65917740, 159140056, 384198693, 927538367, 2239276440, 5406092352, 13051462345, 31509018343, 76069500436
OFFSET
1,2
COMMENTS
Sum of the elements in the first n rows of the triangle defined in the comment in A034182: 1; 3,3; 7,7,7;... (if the empirical recurrence is correct). - J. M. Bergot, Mar 22 2013
LINKS
FORMULA
Empirical: a(n)=5*a(n-1)-8*a(n-2)+4*a(n-3)+a(n-4)-a(n-5) = A001333(n+3)/2 -A097080(n+1)/2. G.f.: x*(1+x)^2/((x^2+2*x-1)*(x-1)^3). [From R. J. Mathar, Aug 11 2009]
CROSSREFS
Sequence in context: A369806 A156928 A117473 * A224153 A361771 A276236
KEYWORD
nonn
AUTHOR
R. H. Hardin Jul 20 2009
STATUS
approved