OFFSET
1,2
COMMENTS
This constant appears in the upper bounds formula of both the peak sidelobe level and the peak cross-correlation of Rudin-Shapiro sequences.
LINKS
Daniel J. Katz and Courtney M. van der Linden, Peak Sidelobe Level and Peak Crosscorrelation of Golay-Rudin-Shapiro Sequences, arXiv:2108.07318 [cs.IT], 2021. See Theorems 1.3, 1.4 and 1.5, pp. 4-5.
FORMULA
Equals ((44 + 3*sqrt(177))^(1/3) + (44 - 3*sqrt(177))^(1/3) - 1)/3.
EXAMPLE
1.6589670819169940793467751567840...
MATHEMATICA
First[RealDigits[N[Root[x^3+x^2-2x-4, x, 1], 90]]]
PROG
(PARI) solve(x=0, 2, x^3 + x^2 - 2*x - 4) \\ Michel Marcus, Nov 03 2021
CROSSREFS
KEYWORD
nonn,cons
AUTHOR
Stefano Spezia, Nov 03 2021
STATUS
approved