A209843 Number of (n+1)X4 0..3 arrays with every 2X2 subblock having one or two distinct values, and new values 0..3 introduced in row major order

227, 5083, 115435, 2713195, 64857323, 1569132907, 38265187051, 938086148459, 23077699792619, 569025498679659, 14051278175506155, 347311392638128491, 8590017274252912363, 212542166228418279787, 5260295094627341586155

Offset

1,1

Comments

Column 3 of A209848

Links

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

Formula

Empirical: a(n) = 43*a(n-1) -459*a(n-2) -321*a(n-3) +13084*a(n-4) -11850*a(n-5) -84560*a(n-6) +143072*a(n-7) +6528*a(n-8) -98304*a(n-9) +32768*a(n-10)

Example

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

Crossrefs

Sequence in context: A031693 A158228 A349985 * A115998 A092324 A122976

Adjacent sequences: A209840 A209841 A209842 * A209844 A209845 A209846

Keyword

nonn

Author

R. H. Hardin Mar 14 2012

Status

approved