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Search: id:A120355
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| A120355 |
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a(n) = min{k>0: the n-th convergent to e equals m/k! for some m}. |
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+0
1
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| 1, 1, 3, 4, 7, 8, 13, 31, 67, 13, 89, 83, 18089, 5441, 17377, 36269, 26021, 4909, 10391023, 1097, 28879, 1846921, 519691, 1329313, 793279, 7553783, 3308341, 65676881, 662407, 677311, 2425388512913, 4403182913, 10832561
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OFFSET
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0,3
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COMMENT
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Smarandache numbers of denominators of convergents to e.
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REFERENCES
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J. Sondow, A geometric proof that e is irrational and a new measure of its irrationality, Amer. Math. Monthly 113 (2006) 637-641.
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FORMULA
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a(n) = A002034(A007677(n)).
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EXAMPLE
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The 6th convergent to e is 87/32 and 32 divides 8! but not 7!, so a(6) = 8.
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CROSSREFS
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Cf. A002034, A007677.
Sequence in context: A008368 A023054 A060023 this_sequence A114210 A073271 A117471
Adjacent sequences: A120352 A120353 A120354 this_sequence A120356 A120357 A120358
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KEYWORD
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hard,more,nonn
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AUTHOR
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Jonathan Sondow (jsondow(AT)alumni.princeton.edu), Aug 16 2006
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EXTENSIONS
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Extended by Max Alekseyev (maxale(AT)gmail.com), Jul 28 2009
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