A336780 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 64-bit double precision floats according to the IEEE 754 standard.

1024, 647, 512, 442, 397, 365, 342, 324, 309, 297, 286, 277, 269, 263, 256, 251, 246, 242, 237, 234, 230, 227, 224, 221, 218, 216, 214, 211, 209, 207, 205, 203, 202, 200, 199, 197, 196, 194, 193, 192, 190, 189, 188, 187, 186, 185, 184, 183, 182, 181, 180, 179, 178

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..54.

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

Crossrefs

Cf. A336774, A336775, A336776, A336777, A336778, A336779, A336781.

Sequence in context: A351262 A336778 A084912 * A217850 A023075 A084918

Adjacent sequences: A336777 A336778 A336779 * A336781 A336782 A336783

Keyword

nonn,fini

Author

Hugo Pfoertner, Aug 07 2020

Status

approved