A205049 Number of (n+1)X3 0..2 arrays with the number of rightwards and downwards edge increases in each 2X2 subblock equal to the number in all its horizontal and vertical neighbors

243, 889, 4171, 19151, 100761, 515720, 2789316, 14729453, 79584319, 424134500, 2284106734, 12214870500, 65649772252, 351622627754, 1887885419556, 10119043216091, 54302259297443, 291163602360747, 1562095220381140

Offset

1,1

Comments

Column 2 of A205055

Links

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

Formula

Empirical: a(n) = 8*a(n-1) -7*a(n-2) -79*a(n-3) +307*a(n-4) -563*a(n-5) +339*a(n-6) +1297*a(n-7) -4336*a(n-8) +7348*a(n-9) -9090*a(n-10) +6883*a(n-11) +2049*a(n-12) -11926*a(n-13) +13484*a(n-14) -9334*a(n-15) +7950*a(n-16) -9011*a(n-17) +8698*a(n-18) -7986*a(n-19) +7725*a(n-20) -6101*a(n-21) +3183*a(n-22) -1053*a(n-23) +337*a(n-24) -187*a(n-25) +81*a(n-26) -16*a(n-27) +a(n-28) for n>30

Example

Some solutions for n=4
..1..1..0....2..2..1....0..1..2....1..1..2....2..0..1....0..2..2....0..1..2
..1..2..1....2..2..0....0..1..2....0..1..1....0..1..0....0..0..1....0..1..2
..0..1..2....1..0..0....2..0..2....0..0..1....1..1..2....1..0..0....1..0..1
..0..1..2....1..0..0....0..1..0....2..0..0....0..2..1....1..1..0....0..2..1
..0..1..2....0..0..0....2..1..2....1..1..0....2..1..2....2..1..1....1..1..2

Crossrefs

Sequence in context: A353320 A331613 A255626 * A235540 A219132 A232285

Adjacent sequences: A205046 A205047 A205048 * A205050 A205051 A205052

Keyword

nonn

Author

R. H. Hardin Jan 21 2012

Status

approved