A369104 Decimal expansion of Pi*(Pi-2)/(4+(Pi-2)^2).

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

Offset

1,2

Comments

This is the prefactor of the Hall resistivity of strange metals in the high magnetic field regime. The number comes from a phenomenological model using a modified Boltzmann equation. See the link for details.

References

R. D. H. Hinlopen, F. A. Hinlopen, J. Ayres, and N. E. Hussey, B^2 to B-linear magnetoresistance due to impeded orbital motion, Physical Review Research 4, no. 3 (2022): 033195.

Links

Table of n, a(n) for n=1..136.

R. D. H. Hinlopen, F. A. Hinlopen, J. Ayres, and N. E. Hussey, B^2 to B-linear magnetoresistance due to impeded orbital motion, Physical Review Research 4, no. 3 (2022): 033195.

Example

Pi*(Pi-2)/(4+(Pi-2)^2) = 0.67627022268...

Mathematica

Join[{0}, First[RealDigits[Pi (Pi-2)/(4+(Pi-2)^2), 10, 120]]] (* Paolo Xausa, Jan 13 2024 *)

Prog

(Python)
from sympy import pi, N;
def A369104(n):
    return list(map(int, str(N((pi*(pi-2))/(4+(pi-2)**2), n)).replace(".", "")))

Crossrefs

Cf. A369103, A019669, A000796.

Sequence in context: A011423 A239134 A196616 * A253271 A258945 A120962

Adjacent sequences: A369101 A369102 A369103 * A369105 A369106 A369107

Keyword

nonn,cons

Author

Bence Bernáth, Jan 13 2024

Status

approved