login
The OEIS Foundation is supported by donations from users of the OEIS and by a grant from the Simons Foundation.

 

Logo


Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A163037 Number of nX2 binary arrays with all 1s connected and a path of 1s from left column to right column 1
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 (list; graph; refs; listen; history; text; internal format)
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

R. H. Hardin, Table of n, a(n) for n=1..100

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: A054469 A156928 A117473 * A224153 A276236 A022572

Adjacent sequences:  A163034 A163035 A163036 * A163038 A163039 A163040

KEYWORD

nonn

AUTHOR

R. H. Hardin Jul 20 2009

STATUS

approved

Lookup | Welcome | Wiki | Register | Music | Plot 2 | Demos | Index | Browse | More | WebCam
Contribute new seq. or comment | Format | Style Sheet | Transforms | Superseeker | Recent
The OEIS Community | Maintained by The OEIS Foundation Inc.

License Agreements, Terms of Use, Privacy Policy. .

Last modified June 22 13:46 EDT 2021. Contains 345380 sequences. (Running on oeis4.)