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A122030 See Comments lines for definition. 2
16, 38, 200, 2324, 1189028, 4996371438596, 54444310605180563002616118404, 1333929961635427338189657222796065386478968915403224556066936061387348857093217691444 (list; graph; refs; listen; history; text; internal format)
OFFSET

4,1

COMMENTS

Let "N_b" denote "N read in base b" and let "N" denote "N written in base 10" (as in normal life). The sequence is given by 16, 16_32, 16_(32_64), 16_(32_(64_128)), etc., or in other words

......16....16.....16.....16.......etc.

..............32.....32.....32.........

.......................64.....64.......

................................128....

where the subscripts are evaluated from the bottom upwards

More precisely, "N_b" means "Take decimal expansion of N and evaluate it as if it were a base-b expansion".

The next term is too large to include.

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=4..11.

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. A121863, A121263, A121266, A121264, A121265, A121295, A121296, A111050, A121866, A121864.

Sequence in context: A224738 A304014 A230828 * A122029 A218900 A070585

Adjacent sequences:  A122027 A122028 A122029 * A122031 A122032 A122033

KEYWORD

nonn,base

AUTHOR

N. J. A. Sloane, Aug 31 2006

STATUS

approved

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Last modified September 24 06:13 EDT 2021. Contains 347623 sequences. (Running on oeis4.)