login
This site is supported by donations to The OEIS Foundation.

 

Logo


Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A231415 Number of (n+1)X(3+1) 0..2 arrays with no element equal to a strict majority of its horizontal, diagonal and antidiagonal neighbors, with values 0..2 introduced in row major order 1
514, 20896, 844061, 34099824, 1378646988, 55743171795, 2253925687328, 91135639532050, 3684995866308397, 148999828418108116, 6024687611678499118, 243603373370750396584, 9849905481191885220441, 398272965802692213756388 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

Column 3 of A231419

LINKS

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

FORMULA

Empirical: a(n) = 46*a(n-1) -196*a(n-2) -1267*a(n-3) +3292*a(n-4) +14529*a(n-5) +171276*a(n-6) -1140184*a(n-7) -4475862*a(n-8) +10969543*a(n-9) +62966783*a(n-10) +91108201*a(n-11) +282085660*a(n-12) +647957840*a(n-13) -2319416710*a(n-14) -7818927246*a(n-15) -4993117801*a(n-16) +1684239825*a(n-17) +21907839370*a(n-18) +51944554645*a(n-19) +32558644866*a(n-20) -56438925441*a(n-21) -129903082195*a(n-22) -6021907645*a(n-23) -46647268966*a(n-24) +81404415386*a(n-25) +152792965116*a(n-26) -57732537680*a(n-27) +39345285424*a(n-28) -41777158208*a(n-29) -29468075264*a(n-30) +16816004096*a(n-31) +1488514048*a(n-32) -205930496*a(n-33) -244383744*a(n-34)

EXAMPLE

Some solutions for n=2

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

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

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

CROSSREFS

Sequence in context: A301547 A229331 A253637 * A271760 A228999 A168126

Adjacent sequences:  A231412 A231413 A231414 * A231416 A231417 A231418

KEYWORD

nonn

AUTHOR

R. H. Hardin, Nov 08 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 November 14 02:19 EST 2019. Contains 329108 sequences. (Running on oeis4.)