A336778 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.

1024, 34, 512, 23, 34, 19, 342, 17, 23, 16, 34, 15, 19, 14, 256, 13, 17, 13, 23, 13, 16, 12, 34, 12, 15, 12, 19, 11, 14, 11, 205, 11, 13, 11, 17, 11, 13, 11, 23, 10, 13, 10, 16, 10, 12, 10, 34, 10, 12, 10, 15, 10, 12, 10, 19, 10, 11, 10, 14, 9, 11, 9, 171, 9, 11

Offset

2,1

Comments

See A336774 for more information and links.

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.

Links

Hugo Pfoertner, Table of n, a(n) for n = 2..1600

Hugo Pfoertner, Comparison with exact results, range n=2..128, computed on x86-64 architecture.

Crossrefs

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

Sequence in context: A030001 A176764 A351262 * A084912 A336780 A217850

Adjacent sequences: A336775 A336776 A336777 * A336779 A336780 A336781

Keyword

nonn,fini

Author

Hugo Pfoertner, Aug 04 2020

Status

approved