Title :
Calculating the Factorials of Large Numbers
Author_Institution :
Spar Aerospace Limited; 1700 Ormont Drive; Weston, Ontario, M9L 2W7 CANADA.
Abstract :
The sharpened Stirling´s formula approximates well the factorial of a large number N. The relative error of this approximation decreases with the magnitude of N and is about 10¿7 for the factorial of 101. The upper limit of the method is about N = 108. The program listing and execution protocol of the routine for a HP41C programmable calculator are presented.
Keywords :
Displays; Dynamic range; Protocols; Reliability engineering; Approximation of factorial; Factorial; Stirling´s formula;
Journal_Title :
Reliability, IEEE Transactions on
DOI :
10.1109/TR.1984.5221838