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A066563
Smallest Catalan number (A000108) divisible by n.
1
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
MATHEMATICA
With[{cats=CatalanNumber[Range[70]]}, Flatten[Table[Select[cats, Divisible[ #, n]&, 1], {n, 40}]]] (* Harvey P. Dale, May 11 2014 *)
PROG
(PARI) { for (n=1, 400, x=0; b=0; while (b==0, x++; c=(2*x)!/x!/(x+1)!; if (c%n == 0, b=1)); write("b066563.txt", n, " ", c) ) } \\ Harry J. Smith, Mar 05 2010
CROSSREFS
Cf. A000108.
Sequence in context: A076392 A291173 A048373 * A374085 A202865 A360786
KEYWORD
nonn
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