A372605 Decimal expansion of sqrt(Pi/log(10)).

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

Offset

1,3

Comments

According to Borwein and Borwein (1982), this approximates (1/100)*(Sum_{k=-oo..+oo} 1/10^((k/100)^2)) to at least 18000 correct digits. See Sum 11, p. 623.

Links

Paolo Xausa, Table of n, a(n) for n = 1..10000

J. M. Borwein and P. B. Borwein, Strange Series and High Precision Fraud, The American Mathematical Monthly, Vol. 99, No. 7 (1992), pp. 622-640.

Formula

Equals sqrt(A197071).

Example

1.168065218145734081547039611835696565835047073019223599580...

Mathematica

First[RealDigits[Sqrt[Pi/Log[10]], 10, 100]]

Crossrefs

Cf. A000796, A197071.

Sequence in context: A308314 A097909 A143819 * A021599 A072553 A089991

Adjacent sequences: A372602 A372603 A372604 * A372606 A372607 A372608

Keyword

nonn,cons

Author

Paolo Xausa, May 07 2024

Status

approved