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 minimum, where k(m) is the smallest k such that P(m,k) > 1/2.

A392222

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 minimum, where k(m) is the smallest k such that P(m,k) > 1/2.

Terms

    a(0) =1a(1) =3a(2) =4a(3) =5a(4) =16a(5) =406a(6) =441a(7) =973a(8) =1256a(9) =2404a(10) =5426a(11) =7912a(12) =16172a(13) =22786a(14) =42151a(15) =66546a(16) =86722a(17) =109004a(18) =475301a(19) =1343503a(20) =1588016a(21) =3458805a(22) =3471453

External references