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A127320
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Start with i=1 and j=2. Concatenate i and j, get k = floor ij/j, concatenate j and k, etc.
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0
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1, 2, 6, 4, 16, 26, 62, 42, 148, 284, 522, 545, 958, 569, 1684, 3379, 4984, 6780, 7352, 9222, 7973, 11567, 68929, 16782, 410732, 40859, 1005243, 406459, 2473172, 1643473, 15048450, 10921212, 137791026, 79259241, 173848531
(list; graph; refs; listen; history; internal format)
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OFFSET
| 1,2
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COMMENTS
| It is easy to see that in all such sequences a(n+2) > a(n). Therefore for any pair of initial terms, the sequence consist of two interweaving strictly increasing subsequences formed by the elements at odd and even positions. So there are no loops in such sequences.
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PROG
| (PARI) a=[1, 2]; for(k=3, 50, a=concat(a, [eval(concat(Str(a[k-2]), Str(a[k-1])))\a[k-1]])); a
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CROSSREFS
| Sequence in context: A110346 A095754 A181159 * A098917 A054786 A033457
Adjacent sequences: A127317 A127318 A127319 * A127321 A127322 A127323
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KEYWORD
| nonn,base
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AUTHOR
| Eric Angelini (Eric.Angelini(AT)kntv.be), Aug 05 2007
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EXTENSIONS
| More terms, PARI program and comment from Max Alekseyev, Aug 05 2007
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