A252707 "Smallest interesting" sequence such that each term has as many digits as the previous term's value.

2, 10, 1000000000

Offset

1,1

Comments

Using 2 as the first term yields the "smallest interesting" sequence with this property. Starting with the value 1 yields the sequence 1, 1, 1, ... and starting with 3 yields a sequence that grows faster (3, 100, 10^99, ...).

The next term is too large to include. - N. J. A. Sloane, Jun 20 2017

Links

Table of n, a(n) for n=1..3.

Formula

a(1) = 2, a(n) = 10^(a(n-1) - 1).

Mathematica

RecurrenceTable[{a[n] == 10^(a[n - 1] - 1), a[1] == 2}, a, {n, 3}] (* Michael De Vlieger, Mar 24 2015 *)

Crossrefs

See A288848 for a variation.

Sequence in context: A119189 A309862 A260756 * A288848 A202952 A201145

Adjacent sequences: A252704 A252705 A252706 * A252708 A252709 A252710

Keyword

nonn,bref,base

Author

Oliver Wong, Mar 22 2015

Status

approved