A109999 Integer part of Lorentz gamma factor = 1/sqrt(1 - (beta)^2) for beta = 0.9999...(with 9 appearing n times) = 1 - 10^(-n).

2, 7, 22, 70, 223, 707, 2236, 7071, 22360, 70710, 223606, 707106, 2236067, 7071067, 22360679, 70710678, 223606797, 707106781, 2236067977, 7071067811, 22360679774, 70710678118, 223606797749, 707106781186, 2236067977499, 7071067811865, 22360679774997, 70710678118654

Offset

1,1

Comments

Ratios between successive terms approach sqrt(10) oscillatingly.

Links

Table of n, a(n) for n=1..28.

Eric Weisstein, World of Physics, Relativistic Gamma

Wikipedia, Lorentz-Fitzgerald contraction hypothesis

Wikipedia, Lorentz factor

Prog

(PARI) a(n) = 1\sqrt(1 - (1-10^(-n))^2); \\ Michel Marcus, Dec 23 2018

Crossrefs

Cf. A010467.

Sequence in context: A077833 A106438 A291382 * A092690 A030186 A289592

Adjacent sequences: A109996 A109997 A109998 * A110000 A110001 A110002

Keyword

nonn

Author

Lekraj Beedassy, Sep 02 2005

Extensions

Corrected and extended by Michel Marcus, Dec 23 2018

Status

approved