A302541 The simple continued fraction for 1/0.45359237 (approximately 2.20462262), which is the number of pounds per kilogram.

2, 4, 1, 7, 1, 5, 1, 4, 5, 3, 4, 3, 1, 1, 2, 1, 4, 1, 2

Offset

0,1

Comments

The "international avoirdupois pound" is the formal name for a pound of mass.

The continued fraction can be used to derive a sequence of simple ratios with improving precision for the precise kilogram-to-pound ratio.

The simple continued fraction for exactly 0.45359237, the number of kilograms per pound is this sequence with 0 prepended.

These are the quotients when Euclid's algorithm is initiated with the pair (100000000, 45359237).

Links

Table of n, a(n) for n=0..18.

U.S. Customs and Border Protection, Automated Export System Trade Interface Requirements, Appendix M - Metric Conversion Table

Wikipedia, Avoirdupois

Example

The fraction associated with the simple continued fraction (2; 4, 1, 7, 1) is 97/44, indicating that 97 pounds and 44 kilograms are nearly the same mass.

Crossrefs

Cf. A029923, A029924.

Sequence in context: A089087 A142146 A143350 * A119303 A374116 A256107

Adjacent sequences: A302538 A302539 A302540 * A302542 A302543 A302544

Keyword

cofr,fini,full,nonn

Author

Lee A. Newberg, Apr 09 2018

Status

approved