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A071897 CONTINUANT transform of Catalan numbers 1, 2, 5, 14, 42, ... 2
1, 3, 16, 227, 9550, 1260827, 540904333, 773494457017, 3760730590920987, 63165231778603354669, 3713231319097707398492821, 772396673211317543153892036521, 573813488532401034128124101329943721, 1534629746271367018386831539104008577227761 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,2

LINKS

Alois P. Heinz, Table of n, a(n) for n = 1..50

N. J. A. Sloane, Transforms

MAPLE

a:= proc(n) option remember; `if`(n<0, 0,

      `if`(n=0, 1, binomial(2*n, n)/(n+1) *a(n-1) +a(n-2)))

    end:

seq(a(n), n=1..20);  # Alois P. Heinz, Aug 06 2013

MATHEMATICA

a[n_] := a[n] = If[n<0, 0, If[n==0, 1, CatalanNumber[n]*a[n-1] + a[n-2]]]; Table[a[n], {n, 1, 20}] (* Jean-Fran├žois Alcover, Feb 25 2017, translated from Maple *)

CROSSREFS

Sequence in context: A272658 A113597 A000273 * A182012 A272385 A013923

Adjacent sequences:  A071894 A071895 A071896 * A071898 A071899 A071900

KEYWORD

nonn

AUTHOR

N. J. A. Sloane, Jun 10 2002

STATUS

approved

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Last modified October 18 03:37 EDT 2018. Contains 316304 sequences. (Running on oeis4.)