A221036 Majority value maps: number of 2 X n binary arrays indicating the locations of corresponding elements equal to at least half of their horizontal and antidiagonal neighbors in a random 0..2 2 X n array.

1, 7, 33, 119, 457, 1710, 6466, 24433, 92196, 347977, 1313608, 4958107, 18714962, 70641589, 266642543, 1006466983, 3799003546, 14339684590, 54126460553, 204305303067, 771169136489, 2910848804238, 10987266400303, 41472446978323

Offset

1,2

Comments

Row 2 of A221035.

Links

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

Formula

Empirical: a(n) = 4*a(n-1) +a(n-2) -4*a(n-3) -12*a(n-4) -2*a(n-5) +22*a(n-6) -20*a(n-7) +16*a(n-8) +8*a(n-9) -6*a(n-10) -10*a(n-11) +a(n-12) +2*a(n-13) -2*a(n-14) +2*a(n-15) for n>19.

Example

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

Crossrefs

Cf. A221035.

Sequence in context: A213131 A100855 A256860 * A338232 A000605 A215054

Adjacent sequences: A221033 A221034 A221035 * A221037 A221038 A221039

Keyword

nonn

Author

R. H. Hardin, Dec 29 2012

Status

approved