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A356580
Decimal expansion of log(2) - gamma - 1/2 (negated).
1
3, 8, 4, 0, 6, 8, 4, 8, 4, 3, 4, 1, 5, 8, 7, 5, 5, 1, 1, 8, 9, 2, 7, 9, 9, 6, 8, 6, 2, 4, 2, 2, 5, 8, 6, 2, 9, 6, 6, 6, 5, 9, 2, 0, 1, 5, 7, 9, 6, 6, 8, 3, 4, 4, 6, 8, 5, 0, 8, 7, 2, 2, 5, 3, 9, 1, 4, 7, 4, 1, 0, 4, 8, 0, 7, 9, 6, 9, 9, 5, 5, 3, 3, 1, 0, 8, 3, 7, 3, 6, 2, 9, 5, 3, 2, 8, 0, 6, 1, 9, 7, 2, 6, 2, 9
OFFSET
0,1
COMMENTS
Called the Lugo constant after Isabel Lugo.
REFERENCES
HyonChol Kim, WiSong Han, and JunHyok So, Recent Advances in the Approximation of Constants and Special Function, Scholars' Press, 2021, p. 62.
LINKS
Chao-Ping Chen, Inequalities for the Lugo and Euler-Mascheroni constants, Applied Mathematics Letters, Vol. 25, No. 5 (2012), pp. 787-792.
Chao-Ping Chen and H. M. Srivastava, New representations for the Lugo and Euler-Mascheroni constants, Applied Mathematics Letters, Vol. 24, No. 7 (2011), pp. 1239-1244.
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.
Isabel Lugo, Math 114: An Euler-Maclaurin summation, 2007. [Wayback Machine copy]
FORMULA
Equals lim_{n->oo} Sum{i,j=1..n} 1/(i+j) - (2*log(2))*n + log(n) (Lugo, 2007).
EXAMPLE
-0.38406848434158755118927996862422586296665920157966...
MATHEMATICA
RealDigits[Log[2] - EulerGamma - 1/2, 10, 100][[1]]
PROG
(PARI) log(2) - Euler - 1/2
CROSSREFS
Cf. A001620 (gamma), A002162, A356581.
Sequence in context: A281630 A278957 A118582 * A086179 A185453 A021967
KEYWORD
nonn,cons
AUTHOR
Amiram Eldar, Aug 13 2022
STATUS
approved