A342875 Decimal expansion of 3*log(phi)/Pi^2, where phi is the golden ratio.

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

Offset

0,2

Links

Table of n, a(n) for n=0..86.

Yuri V. Matiyasevich and Richard K. Guy, A new formula for Pi, The American Mathematical Monthly, Vol 93, No. 8 (1986), pp. 631-635.

Carlo Sanna, On the least common multiple of shifted powers, arXiv:2103.07967 [math.NT], 2021.

Example

0.1462708550931857943377369704926...

Mathematica

First[RealDigits[N[3Log[(1+Sqrt[5])/2]/Pi^2, 87]]]

Crossrefs

Cf. A000796, A001622, A002388, A002390, A003266, A035105.

Sequence in context: A045867 A236189 A347910 * A114403 A356763 A137662

Adjacent sequences: A342872 A342873 A342874 * A342876 A342877 A342878

Keyword

nonn,cons

Author

Stefano Spezia, Mar 28 2021

Status

approved