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A127320 Start with i=1 and j=2. Concatenate i and j, get k = floor ij/j, concatenate j and k, etc. +0
1
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; listen)
OFFSET

1,2

COMMENT

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.

PROGRAM

(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

CROSSREFS

Sequence in context: A130190 A110346 A095754 this_sequence A098917 A054786 A033457

Adjacent sequences: A127317 A127318 A127319 this_sequence A127321 A127322 A127323

KEYWORD

nonn

AUTHOR

Eric Angelini (Eric.Angelini(AT)kntv.be), Aug 05 2007

EXTENSIONS

More terms, PARI program and comment from Max Alekseyev, Aug 05 2007

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Last modified November 29 12:46 EST 2009. Contains 167659 sequences.


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