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A302541
The simple continued fraction for 1/0.45359237 (approximately 2.20462262), which is the number of pounds per kilogram.
1
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).
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
Sequence in context: A089087 A142146 A143350 * A119303 A374116 A256107
KEYWORD
cofr,fini,full,nonn
AUTHOR
Lee A. Newberg, Apr 09 2018
STATUS
approved