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

514, 20896, 844061, 34099824, 1378646988, 55743171795, 2253925687328, 91135639532050, 3684995866308397, 148999828418108116, 6024687611678499118, 243603373370750396584, 9849905481191885220441, 398272965802692213756388

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