login

Year-end appeal: Please make a donation to the OEIS Foundation to support ongoing development and maintenance of the OEIS. We are now in our 61st year, we have over 378,000 sequences, and we’ve reached 11,000 citations (which often say “discovered thanks to the OEIS”).

A028580
C_{n+1}*C_n*C_{n-1}^2*C_{n-2}^4*...*C_2^{2^(n-2)}, where C_k are the Catalan numbers (A000108).
2
1, 2, 10, 280, 235200, 173859840000, 98238542885683200000000, 32169371027674057560745102540800000000000000000, 3518552669874927170883258602839130084576857453953842493259776000000000000000000000000000000000
OFFSET
1,2
COMMENTS
Essentially the same as A003047, which is the main entry. [From R. J. Mathar, Oct 23 2008]
REFERENCES
D.-Z. Du and F. K. Hwang, Combinatorial Group Testing and Its Applications, World Scientific, 2nd ed., 2000; p. 36.
FORMULA
a(n) = 2*(2n-1)*a(n-1)^2/(n+1).
MATHEMATICA
RecurrenceTable[{a[n] == 2*(2*n-1)*a[n-1]^2/(n+1), a[1]==1}, a, {n, 1, 10}] (* Vaclav Kotesovec, Mar 07 2019 *)
CROSSREFS
Sequence in context: A215286 A260231 A003047 * A171873 A098706 A143249
KEYWORD
nonn,easy
AUTHOR
N. J. A. Sloane, May 22 2000
EXTENSIONS
More terms from James A. Sellers, May 22 2000
STATUS
approved