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A183986 T(n,k)=1/4 the number of (n+1)X(k+1) binary arrays with all 2X2 subblock sums the same 10
4, 6, 6, 9, 8, 9, 15, 11, 11, 15, 25, 17, 14, 17, 25, 45, 27, 20, 20, 27, 45, 81, 47, 30, 26, 30, 47, 81, 153, 83, 50, 36, 36, 50, 83, 153, 289, 155, 86, 56, 46, 56, 86, 155, 289, 561, 291, 158, 92, 66, 66, 92, 158, 291, 561, 1089, 563, 294, 164, 102, 86, 102, 164, 294, 563 (list; table; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

Table starts

...4...6...9..15..25..45..81.153.289..561.1089.2145.4225.8385.16641.33153.66049

...6...8..11..17..27..47..83.155.291..563.1091.2147.4227.8387.16643.33155.66051

...9..11..14..20..30..50..86.158.294..566.1094.2150.4230.8390.16646.33158.66054

..15..17..20..26..36..56..92.164.300..572.1100.2156.4236.8396.16652.33164.66060

..25..27..30..36..46..66.102.174.310..582.1110.2166.4246.8406.16662.33174.66070

..45..47..50..56..66..86.122.194.330..602.1130.2186.4266.8426.16682.33194.66090

..81..83..86..92.102.122.158.230.366..638.1166.2222.4302.8462.16718.33230.66126

.153.155.158.164.174.194.230.302.438..710.1238.2294.4374.8534.16790.33302.66198

.289.291.294.300.310.330.366.438.574..846.1374.2430.4510.8670.16926.33438.66334

.561.563.566.572.582.602.638.710.846.1118.1646.2702.4782.8942.17198.33710.66606

LINKS

R. H. Hardin, Table of n, a(n) for n = 1..683

FORMULA

Empirical, for every row and column: a(n)=3*a(n-1)-6*a(n-3)+4*a(n-4)

EXAMPLE

Some solutions for 6X5

..0..1..0..0..1....1..1..1..1..1....1..1..0..0..1....1..1..0..1..0

..1..0..1..1..0....1..0..1..0..1....0..0..1..1..0....0..0..1..0..1

..0..1..0..0..1....1..1..1..1..1....1..1..0..0..1....1..1..0..1..0

..1..0..1..1..0....0..1..0..1..0....0..0..1..1..0....0..0..1..0..1

..0..1..0..0..1....1..1..1..1..1....1..1..0..0..1....1..1..0..1..0

..1..0..1..1..0....0..1..0..1..0....0..0..1..1..0....0..0..1..0..1

CROSSREFS

Sequence in context: A201775 A199172 A323674 * A160995 A215454 A155750

Adjacent sequences: A183983 A183984 A183985 * A183987 A183988 A183989

KEYWORD

nonn,tabl

AUTHOR

R. H. Hardin Jan 08 2011

STATUS

approved

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Last modified December 1 04:36 EST 2022. Contains 358454 sequences. (Running on oeis4.)