A064192 Triangle in which rows are permutations of the rows of A008282.

1, 1, 1, 2, 1, 2, 5, 2, 5, 4, 16, 5, 16, 10, 14, 61, 16, 61, 32, 56, 46, 272, 61, 272, 122, 256, 178, 224, 1385, 272, 1385, 544, 1324, 800, 1202, 1024, 7936, 1385, 7936, 2770, 7664, 4094, 7120, 5296, 6320, 50521, 7936, 50521, 15872, 49136, 23536, 46366, 30656, 42272, 36976

Offset

1,4

Comments

This triangle appears on p. 24 of the linked reference and is defined by Proposition 5.6.

Links

Alois P. Heinz, Rows n = 1..141, flattened

J. L. Arregui, Tangent and Bernoulli numbers related to Motzkin and Catalan numbers by means of numerical triangles. (See Prop. 5.6)

Example

     1;
     1,   1;
     2,   1,    2;
     5,   2,    5,   4;
    16,   5,   16,  10,   14;
    61,  16,   61,  32,   56,  46;
   272,  61,  272, 122,  256, 178,  224;
  1385, 272, 1385, 544, 1324, 800, 1202, 1024;
  ...

Crossrefs

First column gives A000111.

Main diagonal gives A005437.

Cf. A008282.

Sequence in context: A218579 A329198 A182436 * A284553 A216913 A124218

Adjacent sequences: A064189 A064190 A064191 * A064193 A064194 A064195

Keyword

nonn,tabl,easy

Author

N. J. A. Sloane, Sep 21 2001

Extensions

More terms from David Wasserman, Jul 16 2002

New offset 1 from Alois P. Heinz, Apr 28 2023

Status

approved