The On-Line Encyclopedia of Integer Sequences (OEIS)

A220227 revision #3

A220227

Majority value maps: number of 2Xn 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 2Xn array

1, 6, 18, 51, 157, 477, 1445, 4384, 13297, 40332, 122339, 371085, 1125588, 3414184, 10356065, 31412486, 95281776, 289013030, 876647491, 2659087097, 8065664119, 24465139829, 74208776604, 225093441705, 682763681270, 2070989900565

(list; graph; refs; listen; history; text; internal format)

OFFSET

1,2

COMMENTS

Row 2 of A220226

LINKS

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

FORMULA

Empirical: a(n) = 2*a(n-1) +a(n-2) +6*a(n-3) +a(n-4) +3*a(n-5) -4*a(n-6) -2*a(n-7) -4*a(n-8)

EXAMPLE

Some solutions for n=3

..1..1..0....1..1..1....1..0..0....1..0..1....0..1..0....0..1..1....1..1..1