A271852 T(n,k)=Number of ways to move elements of an nXnXn triangular array to themselves or a neighbor, with no 2-cycles and with no more than k-1 elements moved to themselves.

0, 1, 2, 1, 2, 2, 1, 2, 8, 42, 1, 3, 14, 124, 580, 1, 3, 22, 208, 2782, 31892, 1, 3, 22, 304, 6580, 168566, 3193380, 1, 3, 22, 384, 11246, 471344, 21337480, 800156720, 1, 3, 23, 408, 15536, 932092, 72638356, 6300361544, 442390366776, 1, 3, 23, 426, 18860

Offset

1,3

Comments

Table starts

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

.........2..........2...........2...........3............3.........3.......3

.........2..........8..........14..........22...........22........22......23

........42........124.........208.........304..........384.......408.....426

.......580.......2782........6580.......11246........15536.....18860...21010

.....31892.....168566......471344......932092......1473994...1996822.2422412

...3193380...21337480....72638356...170786194....314196428.484756640

.800156720.6300361544.25380585434.70031967880.149466458074

Links

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

Example

Some solutions for n=4 k=4
.....6........5........0........6........5........0........5........0
....2.3......4.1......5.3......2.6......4.1......5.3......4.1......5.0
...6.6.3....6.3.6....5.6.1....2.3.6....5.3.3....6.6.1....6.3.3....6.1.3
..2.3.2.0..0.2.2.3..4.2.4.1..0.2.3.3..4.4.4.1..0.2.2.0..0.4.4.1..0.4.4.1
Element moves: 0=itself 1=nw 2=ne 3=w 4=e 5=sw 6=se, reciprocals total 7

Crossrefs

Sequence in context: A354555 A263643 A336534 * A224362 A350560 A050362

Adjacent sequences: A271849 A271850 A271851 * A271853 A271854 A271855

Keyword

nonn,tabl

Author

R. H. Hardin, Apr 15 2016

Status

approved