A232671 Number of (n+1)X(2+1) 0..2 arrays with every element next to itself plus and minus one within the range 0..2 horizontally, vertically, diagonally or antidiagonally

212, 3138, 63632, 1323984, 26350948, 532378308, 10773984656, 217145249724, 4384228816944, 88517485617660, 1786475659945216, 36062434969543892, 727952626349243712, 14693874074841954556, 296605736453181963248

Offset

1,1

Comments

Column 2 of A232677

Links

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

Formula

Empirical: a(n) = 7*a(n-1) +143*a(n-2) +2259*a(n-3) +4937*a(n-4) +537*a(n-5) -135233*a(n-6) -381639*a(n-7) -575862*a(n-8) +1562236*a(n-9) +4517962*a(n-10) +3839040*a(n-11) -6466486*a(n-12) -13678168*a(n-13) +2830292*a(n-14) +12543416*a(n-15) +501152*a(n-16) -3876392*a(n-17) -3294920*a(n-18) +1863872*a(n-19) -369088*a(n-20) +655936*a(n-21) -7552*a(n-22) -67328*a(n-23) -22528*a(n-24) +8192*a(n-25)

Example

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

Crossrefs

Sequence in context: A200433 A222950 A356358 * A082828 A254704 A267062

Adjacent sequences: A232668 A232669 A232670 * A232672 A232673 A232674

Keyword

nonn

Author

R. H. Hardin, Nov 27 2013

Status

approved