Recaman's sequence

[Hans Havermann]

> %I A064227
> %S A064227 1,4,131,99734,181653,328002
> %N A064227 From Recaman's sequence (A005132): record values in A057167.
> %C A064227 Is this sequence infinite?
> %H A064227 N. J. A. Sloane, <a
> href="http://www.research.att.com/~njas/sequences/a005132.txt">Fortran program
> for A005132, A057167, A064227, A064228</a>
> %K A064227 nonn,nice,more,new
> %O A064227 1,2
> %A A064227 njas, Sep 22 2001

> %I A064228
> %S A064228 1,2,4,19,61,879
> %N A064228 From Recaman's sequence (A005132): values of n achieving records in
> A057167.
> %H A064228 N. J. A. Sloane, <a
> href="http://www.research.att.com/~njas/sequences/a005132.txt">Fortran program
> for A005132, A057167, A064227, A064228</a>
> %K A064228 nonn,nice,more,new
> %O A064228 1,2
> %A A064228 njas, Sep 22 2001

> I am posting this in the hope that someone will extend the last two sequences.

Based on 15 million terms of A005132, the smallest numbers not yet appearing
are: {1355, 1643, 1814, 2405, 2406, 2426, 2520, 2991, 4202, 8076, 9168,
11682, 13548, 13713, 14510, 14511, 14568, 14804, 16114, 16115, 18107, 18108,
19113, 20577, 23289, 25231, 26232, 26233, 26574, 27345, 48957, ...}.

1355 *is* the next term in A064228, even though I can't give you its
corresponding first-appearance value in A064227, other than to say it's
necessarily greater than 15 million.