A206516 Number of (n+1)X4 0..3 arrays with every 2X3 or 3X2 subblock having no more than four equal edges, and new values 0..3 introduced in row major order

2786, 695541, 177097738, 45142367398, 11507555684346, 2933481908580803, 747797195466172046, 190626930556386514119, 48594227014894390255783, 12387540901864509015493628, 3157806575432575464130353243

Offset

1,1

Comments

Column 3 of A206521

Links

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

Formula

Empirical: a(n) = 238*a(n-1) +4150*a(n-2) +44332*a(n-3) -679650*a(n-4) -12043680*a(n-5) -129978174*a(n-6) -183422200*a(n-7) -661869709*a(n-8) +1822894708*a(n-9) +3929447237*a(n-10) +24688694694*a(n-11) +16930214447*a(n-12) +31521818926*a(n-13) -66759146931*a(n-14) +41508795870*a(n-15) -100230885135*a(n-16) +89003825784*a(n-17) -52703068122*a(n-18) +46958310468*a(n-19) -22966596792*a(n-20) +7564885488*a(n-21) -2550916800*a(n-22)

Example

Some solutions for n=4
..0..0..0..0....0..0..0..0....0..0..0..0....0..0..1..0....0..0..0..0
..0..0..1..1....1..1..1..1....0..0..1..0....0..1..1..0....0..1..1..1
..1..2..0..2....2..1..2..3....2..0..1..0....0..0..0..1....0..0..0..1
..0..1..0..3....0..1..2..0....2..0..1..2....1..0..2..1....0..1..0..0
..2..2..1..2....0..1..3..0....1..3..0..0....1..1..0..3....0..1..1..1

Crossrefs

Sequence in context: A236125 A251844 A237230 * A119377 A014895 A106300

Adjacent sequences: A206513 A206514 A206515 * A206517 A206518 A206519

Keyword

nonn

Author

R. H. Hardin Feb 08 2012

Status

approved