A220223 Majority value maps: number of nX3 binary arrays indicating the locations of corresponding elements equal to at least half of their horizontal, diagonal and antidiagonal neighbors in a random 0..1 nX3 array

4, 18, 115, 697, 4406, 27584, 173216, 1087102, 6822698, 42821184, 268754808, 1686768980, 10586553874, 66443674906, 417015964216, 2617289200652, 16426715947380, 103097890974260, 647066349519752, 4061138950016432

Offset

1,1

Comments

Column 3 of A220226

Links

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

Formula

Empirical: a(n) = 4*a(n-1) +11*a(n-2) +20*a(n-3) +10*a(n-4) -22*a(n-5) -73*a(n-6) -130*a(n-7) -255*a(n-8) -324*a(n-9) +76*a(n-10) +462*a(n-11) +1018*a(n-12) +1198*a(n-13) +626*a(n-14) -544*a(n-15) -1353*a(n-16) -1612*a(n-17) -1219*a(n-18) -68*a(n-19) +153*a(n-20) +934*a(n-21) +548*a(n-22) -166*a(n-23) -146*a(n-24) -642*a(n-25) -164*a(n-26) +140*a(n-27) +76*a(n-28) +120*a(n-29) -8*a(n-30) -32*a(n-31) for n>32

Example

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

Crossrefs

Sequence in context: A053483 A052617 A141714 * A137567 A326261 A277473

Adjacent sequences: A220220 A220221 A220222 * A220224 A220225 A220226

Keyword

nonn

Author

R. H. Hardin Dec 08 2012

Status

approved