Sequence of length 1112: Difference between revisions
New page: This sequence, of length 1112 (close to the current record) may be of interest because it was derived differently from the 1124 sequences, by a depth-first search starting with a sequence ... |
Mark Bennet (talk | contribs) Subsequence analysis |
||
| Line 20: | Line 20: | ||
-++++--+--+-+-++-+-+--+++--+-++-+--+--+++---+-++---++-++--+- | -++++--+--+-+-++-+-+--+++--+-++-+--+--+++---+-++---++-++--+- | ||
+--++--+-+-+-++--++-++--+++-+---+ | +--++--+-+-+-++--++-++--+++-+---+ | ||
As expected the subsequence structure is very similar to that for the 974 sequence | |||
617: 1 4 10 13 16 19 22 25 27 31 34 40 42 46 52 55 58 64 76 82 85 | |||
3478: 2 5 8 11 17 20 21 23 26 29 32 38 41 44 50 54 59 62 65 68 80 83 | |||
809: 18 37 45 72 79 | |||
3286; 9 36 74 | |||
873: 7 28 49 70 | |||
3222: 14 35 47 56 77 | |||
1458: 3 12 30 39 48 57 66 75 | |||
2637: 6 15 24 33 43 51 60 63 69 78 | |||
242: 67 | |||
845: 73 | |||
1266: 53 | |||
1430: 84 | |||
1833: 61 | |||
3314: 71 | |||
3506: 81 | |||
This reflects the beginning of the subsequences. There are some emerging methods for analysing over the whole length which may give insight into the way in which patterns break up. | |||
Revision as of 00:48, 12 January 2010
This sequence, of length 1112 (close to the current record) may be of interest because it was derived differently from the 1124 sequences, by a depth-first search starting with a sequence of length 974 satisfying 1=-2=-5 and 11=-13 exactly:
0+--+-++--+--+-++-++--+-++-++--+-++--+--+-++-++--+-++--+--+- ++-++----++-++--+-++--+--+-+++-+--+-+--++--+-++-++--+-++--+- -+-++--+-++-+++-+--+-++--+--+-++-++--+--+-++--+-++--++-+-+-+ +---+-++-++---+++--+--+-++-++--+--+--+-++-++--+--+-++-++--+- ++--+--+-++-++--++---++--+-+-+++--+-++--++---++-+--++-++--+- -+-++--+-++-++--+-++--++-+--+-+--+++-+--+-++---++--++--+++-+ --+-+-+--+++-+-++----++-+++--+-+--+-++--+-++-++--+-++--+--++ +---+-+--++++---+--+-+++---++-++--+-++--+--+-++--+-++-++--+- -+-++++---+-++--++-+-++--+--+-++-+--+++-+--+--+-++-++--++--- -+-++-++-++----++-++---++++-+----++--++++--+-++--+--+-++-++- +---+--+-++-++--++-+--+--+-++-++-++--+--+-++---+++--+-++-++- --+++--+---++--++-++--++-+-+--+-+-+--++++--+---+++-++--++--- +++---+--+++--+++--+---+++-++----++-+++-+--+--+--+-+-++++--- ++--+-++--+--+-++-++-++--+-++--+--+-+--++--+-++-++--+-++--+- -+++---++-+-++-+-+--++-+--+-+-++--+--+-++++---+-+--+++---+++ -+--+++---+--+-++++--+--++--++---++-++--+-++--++--+++--+--++ +--++--+---++++--++---++-+-++-+-+---++-+---+++-+--++--+++--- -++++--+--+-+-++-+-+--+++--+-++-+--+--+++---+-++---++-++--+- +--++--+-+-+-++--++-++--+++-+---+
As expected the subsequence structure is very similar to that for the 974 sequence
617: 1 4 10 13 16 19 22 25 27 31 34 40 42 46 52 55 58 64 76 82 85
3478: 2 5 8 11 17 20 21 23 26 29 32 38 41 44 50 54 59 62 65 68 80 83
809: 18 37 45 72 79
3286; 9 36 74
873: 7 28 49 70
3222: 14 35 47 56 77
1458: 3 12 30 39 48 57 66 75
2637: 6 15 24 33 43 51 60 63 69 78
242: 67
845: 73
1266: 53
1430: 84
1833: 61
3314: 71
3506: 81
This reflects the beginning of the subsequences. There are some emerging methods for analysing over the whole length which may give insight into the way in which patterns break up.
