OFFSET
1,3
COMMENTS
a(n) = tau(binomial(2*n,n)) / 2^k, where tau = number of divisors (A000005) and k is the greatest possible integer.
EXAMPLE
a(7) = 1 because A048784(7) / 2^5 = 32 / 32 = 1 is integer.
MAPLE
with(numtheory): for n from 1 to 100 do:ii:=0:for k from 500 by -1 to 1 while(ii=0) do: x:=evalf(tau(binomial(2*n, n))/2^k):if x=floor(x) then ii:=1: printf(`%d, `, floor(x)):else fi:od:od:
CROSSREFS
KEYWORD
nonn
AUTHOR
Michel Lagneau, Jun 15 2012
STATUS
approved