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 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 32-bit 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 (list; graph; refs; listen; history; text; internal format)
 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 Hugo Pfoertner, Table of n, a(n) for n = 2..16384 Hugo Pfoertner, Comparison with exact results, range n=2..128, computed on x86-64 architecture. Edmund Weitz, IEEE 754 Calculator, uses JavaScript (2016). Wikipedia, IEEE 754. CROSSREFS Cf. A336775, A336778, A336779. Sequence in context: A351247 A303324 A121374 * A252487 A160638 A188829 Adjacent sequences: A336771 A336772 A336773 * A336775 A336776 A336777 KEYWORD nonn,fini AUTHOR Hugo Pfoertner, Aug 04 2020 STATUS approved

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Last modified April 23 03:30 EDT 2024. Contains 371906 sequences. (Running on oeis4.)