A127320 Start with i=1 and j=2. Concatenate i and j, get k = floor ij/j, concatenate j and k, etc.

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

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

Table of n, a(n) for n=1..35.

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 A366688 A054786

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