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A184039 T(n,k)=1/16 the number of (n+1)X(k+1) 0..3 arrays with all 2X2 subblocks having the same four values 10
16, 28, 28, 49, 40, 49, 91, 61, 61, 91, 169, 103, 82, 103, 169, 325, 181, 124, 124, 181, 325, 625, 337, 202, 166, 202, 337, 625, 1225, 637, 358, 244, 244, 358, 637, 1225, 2401, 1237, 658, 400, 322, 400, 658, 1237, 2401, 4753, 2413, 1258, 700, 478, 478, 700, 1258 (list; table; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

Table starts

...16...28...49...91..169..325..625.1225.2401.4753..9409.18721.37249.74305

...28...40...61..103..181..337..637.1237.2413.4765..9421.18733.37261.74317

...49...61...82..124..202..358..658.1258.2434.4786..9442.18754.37282.74338

...91..103..124..166..244..400..700.1300.2476.4828..9484.18796.37324.74380

..169..181..202..244..322..478..778.1378.2554.4906..9562.18874.37402.74458

..325..337..358..400..478..634..934.1534.2710.5062..9718.19030.37558.74614

..625..637..658..700..778..934.1234.1834.3010.5362.10018.19330.37858.74914

.1225.1237.1258.1300.1378.1534.1834.2434.3610.5962.10618.19930.38458.75514

.2401.2413.2434.2476.2554.2710.3010.3610.4786.7138.11794.21106.39634.76690

.4753.4765.4786.4828.4906.5062.5362.5962.7138.9490.14146.23458.41986.79042

LINKS

R. H. Hardin, Table of n, a(n) for n = 1..287

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 4X3

..0..3..0....3..2..3....3..2..3....1..0..1....2..3..2....3..2..2....3..1..3

..3..2..3....3..3..3....1..3..1....2..1..2....3..2..3....2..1..3....1..2..1

..3..0..3....3..2..3....3..2..3....0..1..0....2..3..2....3..2..2....3..1..3

..2..3..2....3..3..3....1..3..1....1..2..1....2..3..2....2..1..3....2..1..2

CROSSREFS

Sequence in context: A302553 A300132 A101857 * A212051 A166595 A280989

Adjacent sequences:  A184036 A184037 A184038 * A184040 A184041 A184042

KEYWORD

nonn,tabl

AUTHOR

R. H. Hardin Jan 08 2011

STATUS

approved

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Last modified October 18 08:08 EDT 2019. Contains 328146 sequences. (Running on oeis4.)