A222093 - OEIS

A222093

T(n,k)=Number of nXk arrays of occupancy after each element stays put or moves to some horizontal, vertical or antidiagonal neighbor, without move-in move-out left turns

1, 3, 3, 8, 31, 8, 21, 306, 308, 21, 55, 3014, 11698, 3034, 55, 144, 29671, 439644, 439979, 29860, 144, 377, 292017, 16509768, 62776264, 16518325, 293848, 377, 987, 2873693, 619931605, 8938090933, 8936245171, 620167586, 2891636, 987, 2584

(list; table; graph; refs; listen; history; text; internal format)

OFFSET

1,2

COMMENTS

Table starts

....1.........3............8..............21...............55..............144

....3........31..........306............3014............29671...........292017

....8.......308........11698..........439644.........16509768........619931605

...21......3034.......439979........62776264.......8938090933....1272224461900

...55.....29860.....16518325......8936245171....4815375485520.2592572243795538

..144....293848....620167586...1271770432077.2592139704947730

..377...2891636..23285438194.181000238870646

..987..28455036.874320487561

.2584.280009384

.6765

LINKS

R. H. Hardin, Table of n, a(n) for n = 1..59

EXAMPLE

Some solutions for n=3 k=4

..0..3..2..0....0..2..0..1....0..0..1..0....0..4..0..0....0..2..2..0

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

..0..1..1..0....0..1..0..3....2..0..0..1....0..1..0..2....0..4..1..0

CROSSREFS

Column and row 1 are A001906

Sequence in context: A221773 A101126 A221001 * A221165 A221776 A221225

Adjacent sequences: A222090 A222091 A222092 * A222094 A222095 A222096

KEYWORD

nonn,tabl

AUTHOR

R. H. Hardin Feb 07 2013

STATUS

approved