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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. 1
7572, 9198, 39450, 223560, 1302228, 7713324, 46226928, 279659868, 1704880890, 10462876284, 64585503408, 400746023364, 2498045547126, 15635322145932, 98216084782716, 618928949286996, 3911199907193244, 24776252730392748 (list; graph; refs; listen; history; text; internal format)
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

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Last modified February 1 06:22 EST 2023. Contains 359981 sequences. (Running on oeis4.)