A336777 a(n) is the least number of repetitions such that the result of the repeated execution of the division f <- f/n started at f=1 produces 0, when the division is performed using 32-bit single precision floats according to the IEEE 754 standard.

151, 96, 76, 66, 59, 55, 51, 49, 47, 45, 43, 42, 41, 40, 39, 38, 37, 37, 36, 36, 35, 35, 34, 34, 33, 33, 33, 32, 32, 32, 31, 31, 31, 31, 31, 30, 30, 30, 30, 29, 29, 29, 29, 29, 29, 29, 28, 28, 28, 28, 28, 28, 28, 27, 27, 27, 27, 27, 27, 27, 27, 27, 26, 26, 26, 26

Offset

2,1

Comments

See A336774 for more information and links.

In contrast to multiplication (A336776), a larger range of values can be used in division by using leading zeros in the significands. The underflow gap is filled by using denormal numbers, also called subnormal numbers.

Links

Table of n, a(n) for n=2..67.

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

Wikipedia, Denormal number.

Crossrefs

Cf. A336774, A336775, A336776, A336778, A337779, A336780, A336781.

Sequence in context: A068286 A115483 A182875 * A250312 A180554 A243531

Adjacent sequences: A336774 A336775 A336776 * A336778 A336779 A336780

Keyword

nonn,fini

Author

Hugo Pfoertner, Aug 07 2020

Status

approved