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A184048 T(n,k)=1/9 the number of (n+1)X(k+1) 0..2 arrays with all 2X2 subblocks having the same four values 9
9, 15, 15, 25, 21, 25, 45, 31, 31, 45, 81, 51, 41, 51, 81, 153, 87, 61, 61, 87, 153, 289, 159, 97, 81, 97, 159, 289, 561, 295, 169, 117, 117, 169, 295, 561, 1089, 567, 305, 189, 153, 189, 305, 567, 1089, 2145, 1095, 577, 325, 225, 225, 325, 577, 1095, 2145, 4225, 2151 (list; table; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

Table starts

....9...15...25...45...81..153..289..561.1089.2145.4225..8385.16641.33153.66049

...15...21...31...51...87..159..295..567.1095.2151.4231..8391.16647.33159.66055

...25...31...41...61...97..169..305..577.1105.2161.4241..8401.16657.33169.66065

...45...51...61...81..117..189..325..597.1125.2181.4261..8421.16677.33189.66085

...81...87...97..117..153..225..361..633.1161.2217.4297..8457.16713.33225.66121

..153..159..169..189..225..297..433..705.1233.2289.4369..8529.16785.33297.66193

..289..295..305..325..361..433..569..841.1369.2425.4505..8665.16921.33433.66329

..561..567..577..597..633..705..841.1113.1641.2697.4777..8937.17193.33705.66601

.1089.1095.1105.1125.1161.1233.1369.1641.2169.3225.5305..9465.17721.34233.67129

.2145.2151.2161.2181.2217.2289.2425.2697.3225.4281.6361.10521.18777.35289.68185

LINKS

R. H. Hardin, Table of n, a(n) for n = 1..391

FORMULA

Empirical, for all rows and columns: a(n)=3*a(n-1)-6*a(n-3)+4*a(n-4)

EXAMPLE

Some solutions for 6X5

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

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

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

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

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

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

CROSSREFS

Column 1 is A183978(n+2)

Sequence in context: A130119 A346609 A232395 * A284128 A058957 A257409

Adjacent sequences: A184045 A184046 A184047 * A184049 A184050 A184051

KEYWORD

nonn,tabl

AUTHOR

R. H. Hardin Jan 08 2011

STATUS

approved

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Last modified February 3 18:43 EST 2023. Contains 360044 sequences. (Running on oeis4.)