A108892 Successive base conversions of prior base representations.

10, 101, 1211, 14321, 150145, 1163512, 4340370, 8144773, 8144773

Offset

1,1

Comments

Breaks down when 8144773 (base 11) = 466331A.

Links

Table of n, a(n) for n=1..9.

Formula

a(1) = 10; for n>1: a(n) = the base (10) interpretation of a(n-1), represented in base (n+1).

Example

a(2) = 101 because a(1) = 10 and 10 (base 3) = 101.
a(3) = 1211 because a(2) = 101 and 101 (base 4) = 1211.
a(4) = 14321 because a(3) = 1211 and 1211 (base 5) = 14321.
a(5) = 150145 because a(4) = 14321 and 14321 (base 6) = 150145.
a(6) = 1163512 because a(5) = 150145 and 150145 (base 7) = 1163512.

Maple

a:= proc(n) option remember; `if`(n=1, 10, parse(cat(
     ListTools[Reverse](convert(a(n-1), base, n+1))[])))
    end:
seq(a(n), n=1..9);  # Alois P. Heinz, Jul 10 2023

Crossrefs

Sequence in context: A290813 A290834 A287014 * A309802 A324083 A162849

Adjacent sequences: A108889 A108890 A108891 * A108893 A108894 A108895

Keyword

nonn,base,easy,fini,full,less

Author

Jonathan Vos Post, Jul 14 2005

Extensions

Corrected (a(6) and onward) by Daniel T. Martin, Jul 10 2023

Status

approved