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Search: id:A085085
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| A085085 |
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Numerator of Sum_{i=2..t} (d(i)/d(i-1)-1), where d(1), ..., d(t) are the divisors of n. |
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+0
2
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| 0, 1, 2, 2, 4, 5, 6, 3, 4, 7, 10, 10, 12, 9, 14, 4, 16, 4, 18, 17, 16, 13, 22, 25, 8, 15, 6, 19, 28, 68, 30, 5, 20, 19, 42, 14, 36, 21, 22, 51, 40, 31, 42, 23, 92, 25, 46, 5, 12, 6, 26, 25, 52, 11, 46, 79, 28, 31, 58, 157, 60, 33, 146, 6, 48, 35, 66, 29, 32, 218, 70, 131, 72, 39, 22, 31, 88
(list; graph; listen)
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OFFSET
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1,3
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REFERENCES
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M. D. Vose, Integers with consecutive divisors in small ratio, J. Number Theory, 19 (1984), 233-238.
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EXAMPLE
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0, 1, 2, 2, 4, 5/2, 6, 3, 4, 7/2, 10, 10/3, 12, 9/2, 14/3, ...
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MAPLE
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with(numtheory): f := proc(n) local t1, t2, t3, i; t1 := divisors(n); t3 := convert(t1, list); t2 := 0; for i from 2 to nops(t3) do t2 := t2+(t3[i]/t3[i-1]-1); od; t2; end;
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CROSSREFS
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Cf. A085091.
Adjacent sequences: A085082 A085083 A085084 this_sequence A085086 A085087 A085088
Sequence in context: A035632 A114701 A049269 this_sequence A121600 A126870 A137413
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KEYWORD
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nonn,frac
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AUTHOR
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njas, Aug 11 2003
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