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A267644 T(n,k)=Number of nXk 0..1 arrays with every repeated value in every row and column unequal to the previous repeated value, and new values introduced in row-major sequential order. 8
1, 2, 2, 3, 8, 3, 5, 18, 18, 5, 7, 50, 51, 50, 7, 11, 98, 189, 189, 98, 11, 15, 242, 429, 1015, 429, 242, 15, 23, 450, 1353, 2887, 2887, 1353, 450, 23, 31, 1058, 2829, 12623, 8917, 12623, 2829, 1058, 31, 47, 1922, 8427, 32303, 47715, 47715, 32303, 8427, 1922, 47, 63 (list; table; graph; refs; listen; history; text; internal format)
OFFSET

1,2

COMMENTS

Table starts

..1....2.....3.......5.......7........11........15..........23..........31

..2....8....18......50......98.......242.......450........1058........1922

..3...18....51.....189.....429......1353......2829........8427.......16899

..5...50...189....1015....2887.....12623.....32303......131673......319541

..7...98...429....2887....8917.....47715....128441......647101.....1614281

.11..242..1353...12623...47715....343145...1117207.....7479533....22499181

.15..450..2829...32303..128441...1117207...3696933....30649693....90914453

.23.1058..8427..131673..647101...7479533..30649693...330654951..1225925501

.31.1922.16899..319541.1614281..22499181..90914453..1225925501..4301737251

.47.4418.49443.1277029.8168679.150415627.784186403.13431652713.62439362175

LINKS

R. H. Hardin, Table of n, a(n) for n = 1..220

FORMULA

Empirical for column k:

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

k=2: a(n) = a(n-1) +6*a(n-2) -6*a(n-3) -8*a(n-4) +8*a(n-5)

k=3: [order 11]

k=4: [order 35]

k=5: [order 93]

EXAMPLE

Some solutions for n=5 k=4

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

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

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

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

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

CROSSREFS

Column 1 is A052955(n-1).

Sequence in context: A177696 A134574 A141617 * A204197 A238654 A220553

Adjacent sequences:  A267641 A267642 A267643 * A267645 A267646 A267647

KEYWORD

nonn,tabl

AUTHOR

R. H. Hardin, Jan 18 2016

STATUS

approved

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Last modified May 19 10:22 EDT 2022. Contains 353832 sequences. (Running on oeis4.)