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

Author

Hugo Pfoertner, Aug 07 2020

Keywords

• nonn
• fini

Comments

See A336774 for more information and links.

The overflow usually raises the corresponding exception, with +infinity returned as result.

Links

• 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.