A231460 Number of (n+1)X(4+1) 0..3 arrays with no element unequal to a strict majority of its horizontal, diagonal and antidiagonal neighbors, with values 0..3 introduced in row major order

33, 90, 311, 1096, 4138, 16384, 67189, 280852, 1195147, 5145988, 22393436, 98203218, 433447413, 1922772634, 8563359553, 38258390042, 171345914564, 768880010838, 3455375274145, 15546790384874, 70013535581867

Offset

1,1

Comments

Column 4 of A231463

Links

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

Formula

Empirical: a(n) = 11*a(n-1) -29*a(n-2) -61*a(n-3) +274*a(n-4) +278*a(n-5) -1193*a(n-6) -1403*a(n-7) +1527*a(n-8) +8863*a(n-9) +3480*a(n-10) -36412*a(n-11) -703*a(n-12) +39337*a(n-13) +59413*a(n-14) -61219*a(n-15) -144858*a(n-16) +71992*a(n-17) +173024*a(n-18) +42768*a(n-19) -298824*a(n-20) +457904*a(n-21) -1004901*a(n-22) +921771*a(n-23) +511731*a(n-24) -1585969*a(n-25) +1962186*a(n-26) -2663476*a(n-27) +2120499*a(n-28) -668261*a(n-29) -214674*a(n-30) +1074212*a(n-31) -2169000*a(n-32) +2007268*a(n-33) -1259600*a(n-34) +1089544*a(n-35) -214867*a(n-36) -230041*a(n-37) +306189*a(n-38) -289905*a(n-39) +194165*a(n-40) -200257*a(n-41) +43085*a(n-42) -37027*a(n-43) -26660*a(n-44) -1262*a(n-45) -665*a(n-46) +14067*a(n-47) +566*a(n-48) +4354*a(n-49) +1920*a(n-50) +1320*a(n-51) -480*a(n-52) for n>55

Example

Some solutions for n=5
..0..0..0..0..0....0..1..0..0..0....0..0..0..0..1....0..0..0..0..1
..0..0..0..1..1....1..0..1..0..0....0..0..0..1..1....0..0..0..1..1
..2..2..1..1..1....0..1..1..1..1....2..2..1..1..1....0..0..0..1..1
..2..2..2..1..1....0..0..1..1..1....2..2..2..1..1....0..0..1..1..1
..2..2..3..3..3....0..0..0..1..1....2..2..3..3..3....0..0..0..1..1
..3..3..3..3..3....0..0..0..0..0....3..3..3..3..3....0..0..0..0..0

Crossrefs

Sequence in context: A067705 A075213 A231392 * A114069 A350220 A305221

Adjacent sequences: A231457 A231458 A231459 * A231461 A231462 A231463

Keyword

nonn

Author

R. H. Hardin, Nov 09 2013

Status

approved