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A336776
a(n) is the least number of repetitions such that the result of the repeated execution of the multiplication f <- f*n started at f=1 produces an overflow, when the multiplication is performed using 32-bit single precision floats according to the IEEE 754 standard.
6
128, 81, 64, 56, 50, 46, 43, 41, 39, 38, 36, 35, 34, 33, 32, 32, 31, 31, 30, 30, 29, 29, 28, 28, 28, 27, 27, 27, 27, 26, 26, 26, 26, 25, 25, 25, 25, 25, 25, 24, 24, 24, 24, 24, 24, 24, 23, 23, 23, 23, 23, 23, 23, 23, 23, 22, 22, 22, 22, 22, 22, 22, 22, 22, 22, 22, 22, 21
OFFSET
2,1
COMMENTS
See A336774 for more information and links.
The overflow usually raises the corresponding exception, with +infinity returned as result.
LINKS
Hugo Pfoertner, Comparison with 128-bit results, range n=2..128, computed on x86-64 architecture.
KEYWORD
nonn,fini
AUTHOR
Hugo Pfoertner, Aug 07 2020
STATUS
approved