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.

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

Table of n, a(n) for n=2..69.

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

Crossrefs

Cf. A336774, A336775, A336777, A336778, A336779, A336780, A336781.

Sequence in context: A252487 A160638 A188829 * A172532 A173779 A187353

Adjacent sequences: A336773 A336774 A336775 * A336777 A336778 A336779

Keyword

nonn,fini

Author

Hugo Pfoertner, Aug 07 2020

Status

approved