A394966 Decimal expansion of log(sqrt(2)+1)/sqrt(3).

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

Offset

0,1

Links

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

H. F. Sandham, Two identities due to Ramanujan, The Quarterly Journal of Mathematics, Vol. 3, No. 1 (1952), pp. 179-182.

Index entries for transcendental numbers.

Formula

Equals A091648 / A002194.

Equals Sum_{k>=0} p(k)/(2*cosh(sqrt(24*k-1)*Pi/3) + 1), where p(k) = A000041(k) is the number of partitions of k (Sandham, 1952).

Example

0.508861277722359214131872397437232540814379079973708...

Mathematica

RealDigits[Log[Sqrt[2] + 1]/Sqrt[3], 10, 120][[1]]

Prog

(PARI) log(sqrt(2)+1)/sqrt(3)

Crossrefs

Cf. A000041, A002194, A091648, A132715, A394967.

Sequence in context: A294518 A382627 A199729 * A240358 A200422 A141431

Adjacent sequences: A394963 A394964 A394965 * A394967 A394968 A394969

Keyword

nonn,cons

Author

Amiram Eldar, Apr 08 2026

Status

approved