OFFSET
1,1
COMMENTS
Conjecture: for each value of n > 1, if a(n+1) has the same number of digits as a(n) and a(n+1) > a(n), then prime(n+2) - prime(n+1) = prime(n+1) - prime(n). This conjecture has been verified for all n < 3*10^7. - Ahmad J. Masad, Oct 08 2019
LINKS
Michel Marcus, Table of n, a(n) for n = 1..10000
Rémy Sigrist, Colored logarithmic scatterplot of the first 100000 terms (where the color is function of A001223(n))
EXAMPLE
n=6: a(6) = C(p(7),p(6)) = C(17,13) = 57120/24 = 2380.
MATHEMATICA
Table[Binomial[Prime[n+1], Prime[n]], {n, 1, 20}] (* Vaclav Kotesovec, Nov 13 2014 *)
CROSSREFS
KEYWORD
nonn
AUTHOR
Labos Elemer, Nov 13 2000
EXTENSIONS
Offset corrected by Vaclav Kotesovec, Nov 13 2014
STATUS
approved