A066563 Smallest Catalan number (A000108) divisible by n.

1, 2, 42, 132, 5, 42, 14, 2674440, 2674440, 1430, 132, 132, 429, 14, 2674440, 3814986502092304, 4862, 2674440, 16796, 742900, 42, 132, 208012, 2674440, 742900, 1430, 10113918591637898134020, 208012, 9694845, 2674440, 35357670, 24139737743045626825711458546273312, 132

Offset

1,2

Links

Harry J. Smith, Table of n, a(n) for n = 1..400

Mathematica

With[{cats=CatalanNumber[Range[70]]}, Flatten[Table[Select[cats, Divisible[ #, n]&, 1], {n, 40}]]] (* Harvey P. Dale, May 11 2014 *)

Prog

(PARI) a(n) = { for (x=0, oo, my(c=(2*x)!/x!/(x+1)!); if (c%n == 0, return(c))) } \\ Harry J. Smith, Mar 05 2010

Crossrefs

Cf. A000108.

Sequence in context: A076392 A291173 A048373 * A374085 A202865 A360786

Adjacent sequences: A066560 A066561 A066562 * A066564 A066565 A066566

Keyword

nonn,changed

Author

Amarnath Murthy, Dec 17 2001

Extensions

Corrected and extended by Robert G. Wilson v, Dec 17 2001

Errors corrected by N. J. A. Sloane, Oct 04 2010

Status

approved