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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. 8
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 (list; table; graph; refs; listen; history; text; internal format)
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
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
KEYWORD
nonn,tabl
AUTHOR
R. H. Hardin, Apr 15 2016
STATUS
approved

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Last modified February 23 23:47 EST 2024. Contains 370288 sequences. (Running on oeis4.)