A231421 Number of (2+1)X(n+1) 0..2 arrays with no element equal to a strict majority of its horizontal, diagonal and antidiagonal neighbors, with values 0..2 introduced in row major order

50, 1032, 20896, 424404, 8704406, 178277756, 3654045516, 74894704740, 1535161355750, 31467342399888, 645012980337444, 13221399981059518, 271010854744794084, 5555152819316036170, 113868962991822419034

Offset

1,1

Comments

Row 2 of A231419

Links

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

Formula

Empirical: a(n) = 20*a(n-1) +56*a(n-2) -821*a(n-3) -2559*a(n-4) +2274*a(n-5) +11333*a(n-6) +75045*a(n-7) +58970*a(n-8) -744820*a(n-9) -338743*a(n-10) +3350990*a(n-11) -566226*a(n-12) -8533262*a(n-13) +6626396*a(n-14) +10836980*a(n-15) -13238580*a(n-16) -6337152*a(n-17) +13746128*a(n-18) -1255112*a(n-19) -8079152*a(n-20) +2081168*a(n-21) +460736*a(n-22) -1034208*a(n-23) +221216*a(n-24) -114304*a(n-25) -122880*a(n-26) -16384*a(n-27) -512*a(n-28)

Example

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

Crossrefs

Sequence in context: A224276 A224199 A112890 * A200207 A160152 A318760

Adjacent sequences: A231418 A231419 A231420 * A231422 A231423 A231424

Keyword

nonn

Author

R. H. Hardin, Nov 08 2013

Status

approved