A271967 Number of ways to move elements of an nXnXn triangular array to themselves or a neighbor, with no more than 6-1 2-cycles.

1, 6, 61, 2267, 212647, 56789048, 39863591390, 73862996725483, 355179936399226357

Offset

1,2

Comments

Column 6 of A271969.

Links

Table of n, a(n) for n=1..9.

Example

Some solutions for n=4
.....0........0........0........5........6........0........0........5
....0.0......0.0......5.0......4.1......0.1......4.3......0.0......4.1
...0.5.6....5.5.3....2.5.5....0.0.6....5.0.5....5.3.5....0.0.5....5.5.6
..0.4.1.1..2.4.4.1..0.2.4.1..4.3.2.3..2.0.2.0..4.2.4.1..4.3.2.0..2.4.1.1
Element moves: 0=itself 1=nw 2=ne 3=w 4=e 5=sw 6=se, reciprocals total 7

Crossrefs

Cf. A271969.

Sequence in context: A271965 A271683 A271966 * A271968 A022502 A272956

Adjacent sequences: A271964 A271965 A271966 * A271968 A271969 A271970

Keyword

nonn

Author

R. H. Hardin, Apr 17 2016

Status

approved