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A181852 a(n) = A057641(A094348(n)). 1

%I #9 May 21 2021 14:11:14

%S 0,0,0,0,0,1,6,9,2,14,6,23,33,34,78,114,105,227,281,207,492,1536,1667,

%T 3036,5155,6502,5206,7682,15861,15396,9051,21295,22160,36300,58657,

%U 71186,81276,91901

%N a(n) = A057641(A094348(n)).

%H Peter Luschny, <a href="/wiki/User:Peter_Luschny/A057641A094348">More terms</a>, OEIS wiki.

%e 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.

%e Further, the inequality 0 <= A057641(lcm(1,2,3,4,5)) is in agreement with (Lagarias' formulation of) the Riemann hypothesis.

%Y Cf. A057641, A094348.

%K nonn

%O 1,7

%A _Peter Luschny_, Dec 11 2010

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Last modified June 3 18:24 EDT 2024. Contains 373080 sequences. (Running on oeis4.)