Let P(m,k) = 1-(m-1)*...*(m-k+1)/m^(k-1) be the probability that at least two out of k people share a birthday out of m possible days. Sequence gives values of m for which P(m,k(m)) sets a new maximum, where k(m) = A033810(m)-1 is the largest k such that P(m,k) < 1/2.
A392223
Let P(m,k) = 1-(m-1)*...*(m-k+1)/m^(k-1) be the probability that at least two out of k people share a birthday out of m possible days. Sequence gives values of m for which P(m,k(m)) sets a new maximum, where k(m) = A033810(m)-1 is the largest k such that P(m,k) < 1/2.
Terms
- a(0) =1a(1) =3a(2) =6a(3) =10a(4) =43a(5) =253a(6) =870a(7) =1317a(8) =14084a(9) =581349a(10) =1564557a(11) =3352229
External references
- oeis: A392223