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

Author

N. J. A. Sloane, Jul 12 2014

Keywords

• sign
• tabl

Comments

See Remmel (2014) for precise definition.

Examples

			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;
  ...
		

Links

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

Crossrefs

First two columns are A125273 and A244889.