A181852 a(n) = A057641(A094348(n)).
0, 0, 0, 0, 0, 1, 6, 9, 2, 14, 6, 23, 33, 34, 78, 114, 105, 227, 281, 207, 492, 1536, 1667, 3036, 5155, 6502, 5206, 7682, 15861, 15396, 9051, 21295, 22160, 36300, 58657, 71186, 81276, 91901
Offset: 1
Keywords
Examples
Example: The ninth member of A094348 is 60 because lcm(1,2,3,4,5) = 60. Let H(n) = Sum_{k=1..n} 1/k. Since H(60) + exp(H(60)) log(H(60)) = 170.9766843.. and sigma(60) = 1 + 2 + 3 + 4 + 5 + 6 + 10 + 12 + 15 + 20 + 30 + 60 = 168 it follows A181852(9)= 170 - 168 = 2. Further, the inequality 0 <= A057641(lcm(1,2,3,4,5)) is in agreement with (Lagarias' formulation of) the Riemann hypothesis.
Links
- Peter Luschny, More terms, OEIS wiki.