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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, 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; text; internal format)
 OFFSET 1,2 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. LINKS 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 CROSSREFS Sequence in context: A095754 A226718 A181159 * A098917 A054786 A269372 Adjacent sequences:  A127317 A127318 A127319 * A127321 A127322 A127323 KEYWORD nonn,base AUTHOR Eric Angelini, Aug 05 2007 EXTENSIONS More terms, PARI program and comment from Max Alekseyev, Aug 05 2007 STATUS approved

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Last modified January 17 06:12 EST 2022. Contains 350378 sequences. (Running on oeis4.)