A235937
Number of circular permutations with exactly one specified increasing or decreasing modular run (3-sequence), with clockwise and counterclockwise traversals not counted as distinct.
Original entry on oeis.org
0, 0, 0, 0, 1, 2, 11, 62, 408, 3056, 25821, 242802, 2517303, 28540102, 351383192, 4669815008, 66640974977, 1016522211474, 16507095990251, 284343231536742, 5178919228252440
Offset: 1
With specified sequence 123:
a(5) = 1: 12354.
a(6) = 2: 123564, 123645.
a(7) = 11: 1235476, 1235746, 1235764, 1236475, 1236574, 1236745, 1236754, 1237465, 1237546, 1237564, 1237645.
- Paul J. Campbell, Circular permutations with exactly one modular run (3-sequence), submitted to Journal of Integer Sequences
A235938
Number of circular permutations with exactly one specified increasing or decreasing modular run (3-sequence), with clockwise and counterclockwise traversals counted as distinct.
Original entry on oeis.org
0, 0, 0, 0, 2, 4, 22, 124, 816, 6112, 51642, 485604, 5034606, 57080204, 702766384, 9339630016, 133281949954, 2033044422948, 33014191980502, 568686463073484, 10357838456504880
Offset: 1
With specified sequence 123:
a(5) = 2: 12354, 32154.
a(6) = 4: 123564, 321564, 123645, 321546.
- Paul J. Campbell, Circular permutations with exactly one modular run (3-sequence), submitted to Journal of Integer Sequences
A235939
Number of circular permutations with exactly one (unspecified) increasing or decreasing modular 3-sequence, with clockwise and counterclockwise traversals not counted as distinct.
Original entry on oeis.org
0, 0, 0, 0, 5, 12, 77, 496, 3672, 30560, 284031, 2913624, 32724939, 399561428, 5270747880, 74717040128, 1132896574609, 18297399806532, 313634823814769, 5686864630734840, 108757303793301240
Offset: 1
a(5) = 5: 12354, 23415, 34521, 45132, 51243.
- Paul J. Campbell, Circular permutations with exactly one modular run (3-sequence), submitted to Journal of Integer Sequences
A235940
Number of circular permutations with exactly one (unspecified) increasing or decreasing modular 3-sequence, with clockwise and counterclockwise traversals counted as distinct.
Original entry on oeis.org
0, 0, 0, 0, 10, 24, 154, 992, 7344, 61120, 568062, 5827248, 65449878, 799122856, 10541495760, 149434080256, 2265793149218, 36594799613064, 627269647629538, 11373729261469680, 217514607586602480
Offset: 1
- Paul J. Campbell, Circular permutations with exactly one modular run (3-sequence), submitted to Journal of Integer Sequences.
A235941
Positions (cyclic permutations) of circular permutations with exactly one (unspecified) increasing or decreasing modular 3-sequence, with clockwise and counterclockwise traversals not counted as distinct.
Original entry on oeis.org
0, 0, 0, 0, 25, 72, 539, 3968, 33048, 305600, 3124341, 34963488, 425424207, 5593859992, 79061218200, 1195472642048, 19259241768353, 329353196517576, 5959061652480611, 113737292614696800, 2283903379659326040
Offset: 1
- Paul J. Campbell, Circular permutations with exactly one modular run (3-sequence), submitted to Journal of Integer Sequences
A235942
Number of positions (cyclic permutations) of circular permutations with exactly one (unspecified) increasing or decreasing modular 3-sequence, with clockwise and counterclockwise traversals counted as distinct.
Original entry on oeis.org
0, 0, 0, 0, 50, 144, 1078, 7936, 66096, 611200, 6248682, 69926976, 850848414, 11187719984, 158122436400, 2390945284096, 38518483536706, 658706393035152, 11918123304961222, 227474585229393600, 4567806759318652080
Offset: 1
- Paul J. Campbell, Circular permutations with exactly one modular run (3-sequence), submitted to Journal of Integer Sequences
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