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A209727 T(n,k)=1/4 the number of (n+1)X(k+1) 0..2 arrays with every 2X2 subblock having distinct clockwise edge differences 7
2, 3, 3, 4, 4, 4, 6, 5, 5, 6, 8, 7, 6, 7, 8, 12, 9, 8, 8, 9, 12, 16, 13, 10, 10, 10, 13, 16, 24, 17, 14, 12, 12, 14, 17, 24, 32, 25, 18, 16, 14, 16, 18, 25, 32, 48, 33, 26, 20, 18, 18, 20, 26, 33, 48, 64, 49, 34, 28, 22, 22, 22, 28, 34, 49, 64, 96, 65, 50, 36, 30, 26, 26, 30, 36, 50, 65, 96 (list; table; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

Table starts

..2..3..4..6..8.12.16.24.32.48.64..96.128.192.256.384.512.768.1024.1536.2048

..3..4..5..7..9.13.17.25.33.49.65..97.129.193.257.385.513.769.1025.1537.2049

..4..5..6..8.10.14.18.26.34.50.66..98.130.194.258.386.514.770.1026.1538.2050

..6..7..8.10.12.16.20.28.36.52.68.100.132.196.260.388.516.772.1028.1540.2052

..8..9.10.12.14.18.22.30.38.54.70.102.134.198.262.390.518.774.1030.1542.2054

.12.13.14.16.18.22.26.34.42.58.74.106.138.202.266.394.522.778.1034.1546.2058

.16.17.18.20.22.26.30.38.46.62.78.110.142.206.270.398.526.782.1038.1550.2062

.24.25.26.28.30.34.38.46.54.70.86.118.150.214.278.406.534.790.1046.1558.2070

LINKS

R. H. Hardin, Table of n, a(n) for n = 1..1512

FORMULA

Empirical for column k:

k=1: a(n) = 2*a(n-2)

k=2..7: a(n) = a(n-1) +2*a(n-2) -2*a(n-3)

EXAMPLE

Some solutions for n=4 k=3

..2..1..2..1....0..2..0..1....1..2..0..2....0..1..0..2....2..1..2..1

..0..2..0..2....2..1..2..0....2..0..1..0....2..0..2..1....0..2..0..2

..1..0..1..0....0..2..0..1....1..2..0..2....0..1..0..2....1..0..1..0

..0..2..0..2....2..1..2..0....2..0..1..0....2..0..2..1....0..2..0..2

..1..0..1..0....0..2..0..1....1..2..0..2....0..1..0..2....2..1..2..1

CROSSREFS

Column 1 is A029744(n+1)

Diagonal is A027383

Sequence in context: A300293 A316388 A029107 * A063123 A086333 A240792

Adjacent sequences:  A209724 A209725 A209726 * A209728 A209729 A209730

KEYWORD

nonn,tabl

AUTHOR

R. H. Hardin Mar 12 2012

STATUS

approved

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Last modified October 19 05:01 EDT 2018. Contains 316336 sequences. (Running on oeis4.)