A336775 a(n) is the largest power of n such that all numbers n^k <= a(n), k=1,..,A336774(n)-1 can be exactly represented as single precision 32-bit floating point numbers according to the IEEE 754 standard.

170141183460469231731687303715884105728, 14348907, 85070591730234615865843651857942052864, 9765625, 470184984576, 5764801, 85070591730234615865843651857942052864, 4782969, 10000000000, 1771561, 15407021574586368, 4826809, 1475789056, 11390625, 21267647932558653966460912964485513216

Offset

2,1

Links

Hugo Pfoertner, Table of n, a(n) for n = 2..16384

Formula

a(n) = n^(A336774(n)-1).

Example

a(3) = 14348907 = 3^15, because the next power 3^16 = 43046721 cannot be exactly represented as a binary32 floating point number, but only rounded to 43046720.

Crossrefs

Cf. A336774, A336778, A336779.

Sequence in context: A173907 A095470 A329659 * A095472 A105300 A292992

Adjacent sequences: A336772 A336773 A336774 * A336776 A336777 A336778

Keyword

nonn,fini

Author

Hugo Pfoertner, Aug 04 2020

Status

approved