A205740 Number of 5X(n+1) 0..2 arrays with every 2 X 2 subblock having the same number of clockwise edge increases as its horizontal neighbors and no 2 X 2 subblock having the same number of counterclockwise edge increases as its vertical neighbors.

7572, 9198, 39450, 223560, 1302228, 7713324, 46226928, 279659868, 1704880890, 10462876284, 64585503408, 400746023364, 2498045547126, 15635322145932, 98216084782716, 618928949286996, 3911199907193244, 24776252730392748

Offset

1,1

Comments

Row 4 of A205736.

Links

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

Formula

Empirical: a(n) = 14*a(n-1) -28*a(n-2) -369*a(n-3) +1414*a(n-4) +3701*a(n-5) -19990*a(n-6) -18379*a(n-7) +145521*a(n-8) +47333*a(n-9) -637510*a(n-10) -56726*a(n-11) +1796078*a(n-12) +22442*a(n-13) -3352104*a(n-14) -57742*a(n-15) +4171256*a(n-16) +261182*a(n-17) -3411792*a(n-18) -421206*a(n-19) +1765491*a(n-20) +322860*a(n-21) -537304*a(n-22) -123513*a(n-23) +83415*a(n-24) +21351*a(n-25) -4710*a(n-26) -1188*a(n-27) for n>31.

Example

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

Crossrefs

Sequence in context: A252163 A031585 A031765 * A206672 A205516 A260036

Adjacent sequences: A205737 A205738 A205739 * A205741 A205742 A205743

Keyword

nonn

Author

R. H. Hardin, Jan 30 2012

Status

approved