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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 64-bit double precision floats according to the IEEE 754 standard.
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%I #11 Aug 10 2020 06:22:32

%S 1024,34,512,23,34,19,342,17,23,16,34,15,19,14,256,13,17,13,23,13,16,

%T 12,34,12,15,12,19,11,14,11,205,11,13,11,17,11,13,11,23,10,13,10,16,

%U 10,12,10,34,10,12,10,15,10,12,10,19,10,11,10,14,9,11,9,171,9,11

%N 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 64-bit double precision floats according to the IEEE 754 standard.

%C See A336774 for more information and links.

%C For n a power of two the first deviation is caused by exceeding the maximum representable number of the binary64 double precision floating point format with result +infinity in standard conforming implementations.

%H Hugo Pfoertner, <a href="/A336778/b336778.txt">Table of n, a(n) for n = 2..1600</a>

%H Hugo Pfoertner, <a href="/A336778/a336778.txt">Comparison with exact results</a>, range n=2..128, computed on x86-64 architecture.

%Y Cf. A336774, A336775, A336776, A336779, A336780.

%K nonn,fini

%O 2,1

%A _Hugo Pfoertner_, Aug 04 2020