A121264 See Comments for definition.

2, 3, 5, 26, 1370, 9840770, 851566070376026

Offset

1,1

Comments

We use N_b to denote "N read in base b". Similar to A121263, but now we write the numerals in the stack in binary:

......10....10.....10......10........etc.

..............11.....11......11..........

.......................100.....100.......

..................................101....

The next two terms have about 144 and 450 digits respectively.

A "dungeon" of numbers.

References

David Applegate, Marc LeBrun and N. J. A. Sloane, Descending Dungeons and Iterated Base-Changing, in "The Mathematics of Preference, Choice and Order: Essays in Honor of Peter Fishburn", edited by Steven Brams, William V. Gehrlein and Fred S. Roberts, Springer, 2009, pp. 393-402.

Links

Table of n, a(n) for n=1..7.

David Applegate, Marc LeBrun and N. J. A. Sloane, Descending Dungeons and Iterated Base-Changing, arXiv:math/0611293 [math.NT], 2006-2007.

David Applegate, Marc LeBrun, N. J. A. Sloane, Descending Dungeons, Problem 11286, Amer. Math. Monthly, 116 (2009) 466-467.

Crossrefs

Cf. A121263, A121265.

Sequence in context: A024774 A068543 A064026 * A141566 A247094 A078736

Adjacent sequences: A121261 A121262 A121263 * A121265 A121266 A121267

Keyword

nonn,base

Author

Marc LeBrun, Aug 23 2006

Status

approved