A206322 Number of (n+1)X4 0..3 arrays with every 2X3 or 3X2 subblock having exactly three clockwise edge increases

10504, 282996, 10258408, 376249940, 13817572060, 507368863264, 18627016493468, 683798061454964, 25101386072770648, 921428112379079596, 33823823595699973196, 1241603426950143338776, 45576678618716075262252

Offset

1,1

Comments

Column 3 of A206327

Links

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

Formula

Empirical: a(n) = 69*a(n-1) -1559*a(n-2) +15847*a(n-3) -85177*a(n-4) +268167*a(n-5) -545306*a(n-6) +718090*a(n-7) -456168*a(n-8) -215639*a(n-9) +632189*a(n-10) -402870*a(n-11) +99964*a(n-12) -248171*a(n-13) +364298*a(n-14) -135801*a(n-15) -12132*a(n-16) -208*a(n-17) +3772*a(n-18) +516*a(n-19) +120*a(n-20) for n>23

Example

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

Crossrefs

Sequence in context: A171352 A237179 A232348 * A348758 A214192 A235119

Adjacent sequences: A206319 A206320 A206321 * A206323 A206324 A206325

Keyword

nonn

Author

R. H. Hardin Feb 06 2012

Status

approved