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An Observation on the Significant Digits of Binomial Coefficients and Factorials

B. P. Sarkar
Sankhyā: The Indian Journal of Statistics, Series B (1960-2002)
Vol. 35, No. 3 (Sep., 1973), pp. 363-364
Stable URL: http://www.jstor.org/stable/25051850
Page Count: 2
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Abstract

The distribution of the first significant digit has been the subject of a number of papers, both empirical and theoretical. Because binomial coefficients and factorials may (in theory) be generated by a multiplicative process one would anticipate that in table of either, the fraction of entries beginning with a first significant digit of A would be approximately log $10\frac{A+1}{A}$. This is borne out by the tables in the paper.

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