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Search: id:A067736
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| A067736 |
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Decimal expansion of exp(3/2). |
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+0
3
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| 4, 4, 8, 1, 6, 8, 9, 0, 7, 0, 3, 3, 8, 0, 6, 4, 8, 2, 2, 6, 0, 2, 0, 5, 5, 4, 6, 0, 1, 1, 9, 2, 7, 5, 8, 1, 9, 0, 0, 5, 7, 4, 9, 8, 6, 8, 3, 6, 9, 6, 6, 7, 0, 5, 6, 7, 7, 2, 6, 5, 0, 0, 8, 2, 7, 8, 5, 9, 3, 6, 6, 7, 4, 4, 6, 6, 7, 1, 3, 7, 7, 2, 9, 8, 1, 0, 5, 3, 8, 3, 1, 3, 8, 2, 4, 5, 3, 3, 9, 1, 3, 8, 8, 6, 1
(list; cons; graph; listen)
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OFFSET
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1,1
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COMMENT
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It is well known that derangements, A000166, are related to exp(1) (cf. A001113). It appears that derangements with minimal cycle size 3 relate to exp(1+1/2). for example, 720/160 = 4.5, 5040/1140 = 4.4210, 40320/8988 = 4.4859, 362880/80864 = 4.4875 the pattern continues - derangements with minimal cycle size 4 appear to relate in the same way to exp(1 + 1/2 +1/3).
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EXAMPLE
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We can write exp(1 + 1/2) = 4.481689 ...
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CROSSREFS
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Cf. A000142, A000166, A001113, A038205, A047865.
Sequence in context: A103551 A107493 A010660 this_sequence A091671 A137797 A021227
Adjacent sequences: A067733 A067734 A067735 this_sequence A067737 A067738 A067739
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KEYWORD
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easy,nonn,cons
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AUTHOR
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alford arnold (alford1940(AT)aol.com), Mar 10 2002
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EXTENSIONS
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More terms from Sascha Kurz (sascha.kurz(AT)uni-bayreuth.de), Mar 19 2002
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