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!)
A210119 Number of (n+1) X 3 0..3 arrays with every 2 X 2 subblock having two or four distinct values, and new values 0..3 introduced in row major order. 1
44, 481, 5587, 67585, 836053, 10466659, 131849767, 1666227265, 21090849853, 267184911211, 3386189676751, 42924236694073, 544177325000245, 6899249896382995, 87473246343061879, 1109059012082436337 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

Column 2 of A210125.

LINKS

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

FORMULA

Empirical: a(n) = 24*a(n-1) - 174*a(n-2) + 368*a(n-3) + 303*a(n-4) - 888*a(n-5) - 340*a(n-6) + 240*a(n-7).

Empirical g.f.: x*(44 - 575*x + 1699*x^2 + 999*x^3 - 4189*x^4 - 1510*x^5 + 1120*x^6) / ((1 - 6*x - 3*x^2 + 2*x^3)*(1 - 18*x + 69*x^2 - 10*x^3 - 120*x^4)). - Colin Barker, Jul 14 2018

EXAMPLE

Some solutions for n=4:

  0 0 0    0 0 1    0 0 0    0 0 0    0 0 0    0 1 1    0 1 1

  0 1 0    0 1 0    0 1 0    0 1 1    1 0 1    2 3 1    2 3 3

  0 1 1    2 3 2    2 3 2    1 1 0    1 0 0    0 1 1    3 2 2

  2 3 3    1 0 1    0 1 0    0 0 0    0 0 1    3 2 1    2 2 0

  0 1 1    1 0 0    2 3 2    0 1 0    0 1 0    2 2 1    1 1 3

CROSSREFS

Cf. A210125.

Sequence in context: A221730 A306036 A160150 * A272186 A222514 A282645

Adjacent sequences:  A210116 A210117 A210118 * A210120 A210121 A210122

KEYWORD

nonn

AUTHOR

R. H. Hardin, Mar 17 2012

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 October 19 17:52 EDT 2021. Contains 348091 sequences. (Running on oeis4.)