A356581 Decimal expansion of gamma - 3*log(2) + log(3) + 17/24.

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, 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, 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

Offset

0,1

Links

Table of n, a(n) for n=0..104.

Chao-Ping Chen and H. M. Srivastava, New representations for the Lugo and Euler-Mascheroni constants. II, Applied Mathematics Letters, Vol. 25, No. 3 (2012), pp. 333-338.

Formula

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).

Example

0.30471974522313995708339429596373176479648282401524...

Mathematica

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

Prog

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

Crossrefs

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

Sequence in context: A145092 A210878 A355977 * A367480 A320373 A303274

Adjacent sequences: A356578 A356579 A356580 * A356582 A356583 A356584

Keyword

nonn,cons

Author

Amiram Eldar, Aug 13 2022

Status

approved