A244888 Triangle of coefficients arising in study of up-down permutations.

1, -2, 1, 6, -6, 1, -23, 36, -15, 1, 106, -229, 160, -37, 1, -567, 1574, -1566, 650, -93, 1, 3434, -11706, 15248, -9310, 2572, -238, 1, -23137, 93831, -151933, 123814, -52136, 10175, -616, 1

Offset

1,2

Comments

See Remmel (2014) for precise definition.

Links

Table of n, a(n) for n=1..36.

Jeffrey B. Remmel, Consecutive Up-down Patterns in Up-down Permutations, Electron. J. Combin., 21 (2014), #P3.2. See p. 25.

Example

Triangle begins:
       1;
      -2,      1;
       6,     -6,       1;
     -23,     36,     -15,      1;
     106,   -229,     160,    -37,      1;
    -567,   1574,   -1566,    650,    -93,     1;
    3434, -11706,   15248,  -9310,   2572,  -238,    1;
  -23137,  93831, -151933, 123814, -52136, 10175, -616, 1;
  ...

Crossrefs

First two columns are A125273 and A244889.

Sequence in context: A260848 A110183 A110098 * A130561 A157400 A091599

Adjacent sequences: A244885 A244886 A244887 * A244889 A244890 A244891

Keyword

sign,tabl

Author

N. J. A. Sloane, Jul 12 2014

Status

approved