Is something wrong with this sequence?

[N. J. A. Sloane]

Brendan,  I should have posted my
follow-up message to the seqfan list too.  I said:

incidentally the continued fraction version
of this sequence, A033091, is a much more interesting one,
since it doesn't depend on our having 10 fingers.

and it also needs extending

Regards

Neil

>> What a useless sequence!  It's a pity things like that are accepted


Here is A033091:

%I A033091
%S A033091 0,1,2,4,13,40,49,65,399,2076
%N A033091 Incrementally largest terms in the continued fraction for Euler's constant gamma (A002852).
%H A033091 E. W. Weisstein, <a href="http://mathworld.wolfram.com/Euler-MascheroniConstant.html">Link to a section of The World of Mathematics.</a>
%Y A033091 Cf. A033092, A059856, A001620, A002852, A098967.
%Y A033091 Adjacent sequences: A033088 A033089 A033090 this_sequence A033092 A033093 A033094
%Y A033091 Sequence in context: A000866 A077325 A093630 this_sequence A085422 A065601 A087214
%K A033091 nonn,more
%O A033091 0,3
%A A033091 Eric W. Weisstein (eric(AT)weisstein.com), R. W. Gosper

You might think that is useless too, but there are potential
applications in number theory.

Cheers!

Neil