  Statistical calculations by K. G. Karlsson (Astron Astrophys. 239, 50, 1990),
G. R. Burbidge and other authors, show that the redshifts Z of the spectral
lines emitted by quasars and galaxies accumulate close to Z(m) = mK, where K =
0061 is the "Karlsson's constant" and m some integers. We demonstrate this
formula and find exactly K and the allowed values of m, using only rules
commonly used in laser spectroscopy, the hypothesis of low pressure atomic
hydrogen in 1S state around these stars and the observation of an initially
continuous spectrum of a very hot star.
