login
The OEIS is supported by the many generous donors to the OEIS Foundation.

 

Logo
Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A234414 Number of (n+1) X (1+1) 0..7 arrays with every 2 X 2 subblock having the absolute values of all six edge and diagonal differences no larger than 1. 1
106, 550, 2848, 14794, 76996, 401332, 2094334, 10939294, 57181342, 299074768, 1565010838, 8192728552, 42902476216, 224726079286, 1177392512218, 6169767623782, 32335691922208, 169492250976178, 888510183018244 (list; graph; refs; listen; history; text; internal format)
OFFSET
1,1
LINKS
FORMULA
Empirical: a(n) = 13*a(n-1) - 54*a(n-2) + 57*a(n-3) + 90*a(n-4) - 96*a(n-5) - 108*a(n-6) - 24*a(n-7).
Empirical g.f.: 2*x*(53 - 414*x + 711*x^2 + 714*x^3 - 1212*x^4 - 1200*x^5 - 264*x^6) / (1 - 13*x + 54*x^2 - 57*x^3 - 90*x^4 + 96*x^5 + 108*x^6 + 24*x^7). - Colin Barker, Oct 14 2018
EXAMPLE
Some solutions for n=5:
0 0 3 4 1 1 5 5 1 0 0 1 1 1 4 5 3 3 3 2
0 1 4 3 2 1 5 4 1 1 1 1 2 2 4 5 3 4 3 3
0 1 4 3 1 2 5 5 1 1 1 1 1 1 4 4 3 4 2 2
1 0 4 4 1 1 6 6 0 1 0 1 2 2 3 3 4 4 2 3
1 0 4 4 2 2 6 6 0 1 1 1 2 2 3 3 3 4 2 3
0 0 5 4 2 2 6 5 0 0 2 2 2 3 4 4 3 4 3 2
CROSSREFS
Column 1 of A234421.
Sequence in context: A260937 A200868 A234421 * A090037 A187588 A051974
KEYWORD
nonn
AUTHOR
R. H. Hardin, Dec 25 2013
STATUS
approved

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

License Agreements, Terms of Use, Privacy Policy. .

Last modified February 27 16:21 EST 2024. Contains 370378 sequences. (Running on oeis4.)