

A336774


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 differs from the exact value n^a(n), when the multiplication is performed using 32bit single precision floats according to the IEEE 754 standard.


8



128, 16, 64, 11, 16, 9, 43, 8, 11, 7, 16, 7, 9, 7, 32, 6, 8, 6, 11, 6, 7, 6, 16, 6, 7, 6, 9, 5, 7, 5, 26, 5, 6, 5, 8, 5, 6, 5, 11, 5, 6, 5, 7, 5, 6, 5, 16, 5, 6, 5, 7, 5, 6, 5, 9, 5, 5, 5, 7, 5, 5, 5, 22, 4, 5, 4, 6, 4, 5, 4, 8, 4, 5, 4, 6, 4, 5, 4, 11, 4, 5, 4
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OFFSET

2,1


COMMENTS

For n a power of two the first deviation is caused by exceeding the maximum representable number of the binary32 single precision floating point format.


LINKS



CROSSREFS



KEYWORD

nonn,fini


AUTHOR



STATUS

approved



