  This paper has been withdrawn by the authors. In our earlier paper
"Corrections to the Bekenstein-Hawking entropy and the Hawking radiation
spectrum", arXiv:0910.2755, we provided two concrete numerical evidences for
the new area spectrum based on the Einstein-Kaufman pseudo tensor as opposed to
the Ashtekar variables: namely, the reproduction of the Bekenstein-Hawking
entropy without fixing Immirzi parameter and the reproduction of the Hawking
radiation spectrum. In this article, we provide another potential, albeit not
concrete, numerical evidence for this new area spectrum; there was a constant
in our earlier article, which was inversely proportional to the density of
state, and which we could not fix a priori. Nevertheless, in our earlier
article, we obtained this constant to be around 172$\sim$173 by fitting it to
the Planck radiation spectrum. In this article, we propose a mathematical
formula that reproduces this value. According to this formula, this constant is
around 172.8. Nevertheless, we failed to concretely derive this mathematical
formula. Therefore, it is a conjecture.
