A302541 - OEIS

%I #23 Apr 29 2018 02:27:36

%S 2,4,1,7,1,5,1,4,5,3,4,3,1,1,2,1,4,1,2

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

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

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

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

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

%H U.S. Customs and Border Protection, <a href="https://www.cbp.gov/sites/default/files/assets/documents/2017-Sep/ACE%20Appendix%20M%20-%20Metric%20Conversion%20Table.pdf">Automated Export System Trade Interface Requirements, Appendix M - Metric Conversion Table</a>

%H Wikipedia, <a href="https://en.wikipedia.org/wiki/Avoirdupois">Avoirdupois</a>

%e 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.

%Y Cf. A029923, A029924.

%K cofr,fini,full,nonn

%O 0,1

%A _Lee A. Newberg_, Apr 09 2018