Sequence of length 1112: Difference between revisions
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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. | 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. | ||
See also [[HAP table for Sequence of length 1112]] | |||
Latest revision as of 09:02, 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.
