A121297 For definition see Comments lines.

11, 14, 21, 39, 78, 211, 1954, 63163, 17163259, 316235916142, 7475840758734855197, 77068358083998565749275388634420, 56080446471298599543571746837309517827424625680076701163

Offset

10,1

Comments

Using N_b to denote "N read in base b", the sequence is

......11....11.....11.....11.......etc.

..............13.....13.....13.........

.......................17.....17.......

................................19.....

where the subscripts are evaluated from the top downwards.

Analog of A121265 using primes >= 11.

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=10..22.

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

Maple

asubb := proc(a, b) local t1; t1:=convert(a, base, 10); add(t1[j]*b^(j-1), j=1..nops(t1)): end;
t1:=[10]; for n from 1 to 12 do t2:=f(t1[n], ithprime(n+5)); t1:=[op(t1), t2]; od: t1;

Crossrefs

Cf. A121263, A121265, A121295, A121296.

Sequence in context: A077675 A266988 A248642 * A015848 A106389 A030726

Adjacent sequences: A121294 A121295 A121296 * A121298 A121299 A121300

Keyword

nonn,base

Author

N. J. A. Sloane, Aug 25 2006

Status

approved