A356581 - OEIS

%I #7 Aug 14 2022 03:43:38

%S 3,0,4,7,1,9,7,4,5,2,2,3,1,3,9,9,5,7,0,8,3,3,9,4,2,9,5,9,6,3,7,3,1,7,

%T 6,4,7,9,6,4,8,2,8,2,4,0,1,5,2,4,0,6,2,1,5,1,1,7,5,4,8,7,3,3,7,5,5,1,

%U 4,4,8,7,4,2,0,5,2,2,8,2,4,3,2,6,3,0,6,1,7,0,4,4,9,5,5,6,1,0,9,0,0,9,9,3,0

%N Decimal expansion of gamma - 3*log(2) + log(3) + 17/24.

%H Chao-Ping Chen and H. M. Srivastava, <a href="https://doi.org/10.1016/j.aml.2011.09.010">New representations for the Lugo and Euler-Mascheroni constants. II</a>, Applied Mathematics Letters, Vol. 25, No. 3 (2012), pp. 333-338.

%F Equals lim_{n->oo} Sum_{i,j,k=1..n} 1/(i+j+k) - log(n) - 9*(log(2) - log(3)/2)*n + 3*(3*log(3)/2 - 2*log(2))*n^2 (Chen and Srivastava, 2012).

%e 0.30471974522313995708339429596373176479648282401524...

%t RealDigits[EulerGamma - 3*Log[2] + Log[3] + 17/24, 10, 100][[1]]

%o (PARI) Euler - 3*log(2) + log(3) + 17/24

%Y Cf. A001620 (gamma), A002162, A002391, A356580.

%K nonn,cons

%O 0,1

%A _Amiram Eldar_, Aug 13 2022