A231398 Number of (2+1)X(n+1) 0..2 arrays with no element unequal to a strict majority of its horizontal, diagonal and antidiagonal neighbors, with values 0..2 introduced in row major order

4, 8, 38, 90, 363, 1163, 3985, 14650, 50088, 185178, 665415, 2425915, 8953631, 32773916, 121530364, 449147910, 1665804417, 6189859849, 22993326811, 85585457988, 318520365520, 1186296435208, 4419902305187, 16469639460901

Offset

1,1

Comments

Row 2 of A231396

Links

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

Formula

Empirical: a(n) = 4*a(n-1) +12*a(n-2) -43*a(n-3) -103*a(n-4) +278*a(n-5) +418*a(n-6) -1103*a(n-7) -883*a(n-8) +2549*a(n-9) +1514*a(n-10) -4171*a(n-11) -1969*a(n-12) +4818*a(n-13) +1876*a(n-14) -3992*a(n-15) -1124*a(n-16) +2288*a(n-17) +288*a(n-18) -752*a(n-19) +96*a(n-21)

Example

Some solutions for n=6
..0..0..1..0..0..1..1....0..1..1..1..1..1..2....0..1..0..0..0..0..1
..0..1..0..1..1..0..0....0..0..1..1..1..2..2....1..0..1..1..0..1..0
..1..0..1..1..0..0..0....0..0..1..1..1..2..2....0..1..1..1..1..0..1

Crossrefs

Sequence in context: A063580 A003049 A098563 * A231465 A208820 A032301

Adjacent sequences: A231395 A231396 A231397 * A231399 A231400 A231401

Keyword

nonn

Author

R. H. Hardin, Nov 08 2013

Status

approved