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A280759 Generalized Catalan triangle A_3 read by rows. 1
1, 1, 1, 1, 3, 3, 3, 2, 1, 12, 12, 12, 9, 6, 3, 1, 55, 55, 55, 43, 31, 19, 10, 4, 1, 273, 273, 273, 218, 163, 108, 65, 34, 15, 5, 1, 1428, 1428, 1428, 1155, 882, 609, 391, 228, 120, 55, 21, 6, 1, 7752, 7752, 7752, 6324, 4896, 3468, 2313, 1431, 822, 431, 203 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,5

LINKS

Lars Blomberg, Table of n, a(n) for n = 0..1599 (the first 40 rows)

Sheng-Liang Yang, LJ Wang, Taylor expansions for the m-Catalan numbers, Australasian Journal of Combinatorics, Volume 64(3) (2016), Pages 420-431. Formula (5).

EXAMPLE

Triangle begins:

     1,

     1,    1,    1,

     3,    3,    3,    2,   1,

    12,   12,   12,    9,   6,   3,   1,

    55,   55,   55,   43,  31,  19,  10,   4,   1,

   273,  273,  273,  218, 163, 108,  65,  34,  15,  5,  1,

  1428, 1428, 1428, 1155, 882, 609, 391, 228, 120, 55, 21, 6, 1,

  ...

CROSSREFS

Sequence in context: A153012 A275300 A283833 * A016651 A135877 A136218

Adjacent sequences:  A280756 A280757 A280758 * A280760 A280761 A280762

KEYWORD

nonn,tabf

AUTHOR

N. J. A. Sloane, Jan 16 2017

EXTENSIONS

More terms from Lars Blomberg, Jan 25 2017

STATUS

approved

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Last modified November 13 04:20 EST 2019. Contains 329085 sequences. (Running on oeis4.)