A271969 T(n,k)=Number of ways to move elements of an nXnXn triangular array to themselves or a neighbor, with no more than k-1 2-cycles.

1, 1, 3, 1, 6, 23, 1, 6, 44, 445, 1, 6, 59, 1207, 23145, 1, 6, 61, 1828, 74247, 3135539, 1, 6, 61, 2153, 133056, 12282848, 1120710711, 1, 6, 61, 2261, 177988, 25994687, 5228980482, 1054066365149, 1, 6, 61, 2267, 202966, 39916412, 12952862226

Offset

1,3

Comments

Table starts

.............1.............1..............1..............1..............1

.............3.............6..............6..............6..............6

............23............44.............59.............61.............61

...........445..........1207...........1828...........2153...........2261

.........23145.........74247.........133056.........177988.........202966

.......3135539......12282848.......25994687.......39916412.......50507975

....1120710711....5228980482....12952862226....22826735465....32409741782

.1054066365149.5803552280765.16738437591113.33845098700440.54228205133050

Links

R. H. Hardin, Table of n, a(n) for n = 1..76

Example

Some solutions for n=4 k=4
.....6........0........0........0........0........6........6........0
....2.6......5.0......0.0......6.0......5.6......2.3......0.1......0.0
...6.1.3....2.0.5....5.6.3....6.1.5....4.1.1....5.5.0....5.3.5....0.6.6
..2.3.0.0..4.3.4.1..2.0.4.1..2.3.2.0..0.0.0.0..2.2.0.0..4.2.4.1..0.2.3.1
Element moves: 0=itself 1=nw 2=ne 3=w 4=e 5=sw 6=se, reciprocals total 7

Crossrefs

Sequence in context: A333652 A189735 A221693 * A351106 A175291 A156363

Adjacent sequences: A271966 A271967 A271968 * A271970 A271971 A271972

Keyword

nonn,tabl

Author

R. H. Hardin, Apr 17 2016

Status

approved