A372719 Decimal expansion of Sum_{k >= 1} floor(k*e^(Pi*sqrt(163/9)))/2^k.

1, 2, 8, 0, 6, 3, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9

Offset

7,2

Links

Table of n, a(n) for n=7..96.

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

Approximately 1280640, correct to at least half a billion digits: see Sum 10 in Borwein and Borwein (1992), p. 623.

Example

1280639.9999999999999999999999999999999999999999999999999999...

Mathematica

First[RealDigits[Sum[Floor[k*E^(Pi*Sqrt[163/9])]/2^k, {k, 400}], 10, 100]]

Crossrefs

Cf. A000796, A001113, A038152, A190575, A039661.

Sequence in context: A188924 A011055 A268813 * A242056 A195009 A337997

Adjacent sequences: A372716 A372717 A372718 * A372720 A372721 A372722

Keyword

nonn

Author

Paolo Xausa, May 11 2024

Status

approved