

A122029


See Comments lines for definition.


1




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 top downwards
More precisely, "N_b" means "Take decimal expansion of N and evaluate it as if it were a baseb 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 BaseChanging, 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. 393402.


LINKS

Table of n, a(n) for n=4..10.
David Applegate, Marc LeBrun and N. J. A. Sloane, Descending Dungeons and Iterated BaseChanging, arXiv:math/0611293 [math.NT], 20062007.
David Applegate, Marc LeBrun, N. J. A. Sloane, Descending Dungeons, Problem 11286, Amer. Math. Monthly, 116 (2009) 466467.


PROG

(PARI) rebase(n, bas)={ local(resul, i) ; resul= n % 10 ; i=1 ; while(n>0, n = n \10 ; resul += (n%10)*bas^i ; i++ ; ) ; return(resul) ; } { a=16 ; for(p=5, 10, print(a) ; a=rebase(a, 2^p) ; ) ; }  R. J. Mathar, Sep 01 2006


CROSSREFS

Cf. A121863, A121263, A121266, A121264, A121265, A121295, A121296, A111050, A121866, A121864.
Sequence in context: A304014 A230828 A122030 * A218900 A070585 A253435
Adjacent sequences: A122026 A122027 A122028 * A122030 A122031 A122032


KEYWORD

nonn,base


AUTHOR

N. J. A. Sloane, Aug 31 2006


EXTENSIONS

Corrected and extended by R. J. Mathar, Sep 01 2006


STATUS

approved



