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Search: id:A080229
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| A080229 |
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Number of terms in the continued fraction for x, where x is the Golden ratio (phi=(1+sqrt(5))/2) truncated to n decimal digits. |
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+0
1
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| 1, 4, 8, 12, 12, 20, 18, 25, 29, 31, 34, 36, 39, 38, 44, 53, 51, 59, 60, 64, 64, 77, 71, 84, 81, 81, 89, 88, 92, 90, 93, 96, 110, 110, 114, 113, 122, 124, 123, 123, 140, 140, 139, 145, 155, 150, 165, 165, 159, 169, 170, 161, 173, 172, 194, 182, 187, 192, 190, 196
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OFFSET
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0,2
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EXAMPLE
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Goden ratio truncated to 3 decimal places gives 1.618. The continued fraction for 1.618 is [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 5] which contains 12 terms, hence a(3)=12.
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CROSSREFS
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Cf. A065019.
Adjacent sequences: A080226 A080227 A080228 this_sequence A080230 A080231 A080232
Sequence in context: A120427 A060830 A080458 this_sequence A101887 A092453 A132457
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KEYWORD
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base,nonn
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AUTHOR
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Benoit Cloitre (benoit7848c(AT)orange.fr), Mar 17 2003
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