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!)
A234117 Number of (n+1) X (3+1) 0..2 arrays with every 2 X 2 subblock having the absolute values of all six edge and diagonal differences no larger than 1. 1
673, 12593, 231713, 4279065, 79003521, 1458813409, 26937444801, 497411686793, 9184935953377, 169604155276817, 3131820756402657, 57830550281200505, 1067868451774107585, 19718695887361293761, 364115043587212161409 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

LINKS

R. H. Hardin, Table of n, a(n) for n = 1..210

FORMULA

Empirical: a(n) = 20*a(n-1) - 10*a(n-2) - 324*a(n-3) - 277*a(n-4) + 144*a(n-5).

Empirical g.f.: x*(673 - 867*x - 13417*x^2 - 11213*x^3 + 5904*x^4) / (1 - 20*x + 10*x^2 + 324*x^3 + 277*x^4 - 144*x^5). - Colin Barker, Oct 12 2018

EXAMPLE

Some solutions for n=2:

..2..2..2..1....1..1..1..0....1..2..2..1....1..1..1..2....2..1..1..2

..2..1..1..1....0..0..0..0....1..1..1..2....0..1..2..1....2..2..1..1

..1..1..2..2....0..0..1..1....1..2..2..2....1..1..2..2....1..1..1..1

CROSSREFS

Column 3 of A234122.

Sequence in context: A297123 A335254 A160209 * A171266 A267818 A158392

Adjacent sequences:  A234114 A234115 A234116 * A234118 A234119 A234120

KEYWORD

nonn

AUTHOR

R. H. Hardin, Dec 19 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 | Recent
The OEIS Community | Maintained by The OEIS Foundation Inc.

License Agreements, Terms of Use, Privacy Policy. .

Last modified July 30 07:49 EDT 2021. Contains 346348 sequences. (Running on oeis4.)