A232139 Number of (2+1)X(n+1) 0..2 arrays with no element equal to a strict majority of its horizontal and antidiagonal neighbors, with values 0..2 introduced in row major order

44, 728, 10956, 169692, 2616952, 40399768, 623543776, 9624373808, 148550587192, 2292857494812, 35389922134468, 546238342870352, 8431109896279836, 130132963416612180, 2008583492065392256, 31002196055330559468

Offset

1,1

Comments

Row 2 of A232137

Links

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

Formula

Empirical: a(n) = 15*a(n-1) +16*a(n-2) -163*a(n-3) +305*a(n-4) +116*a(n-5) -2324*a(n-6) +1718*a(n-7) -5922*a(n-8) +14296*a(n-9) +18892*a(n-10) -15292*a(n-11) -21000*a(n-12) -12320*a(n-13) -17184*a(n-14) +11072*a(n-15) +5120*a(n-17)

Example

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

Crossrefs

Sequence in context: A358794 A120812 A282860 * A296576 A202164 A231128

Adjacent sequences: A232136 A232137 A232138 * A232140 A232141 A232142

Keyword

nonn

Author

R. H. Hardin, Nov 19 2013

Status

approved