OFFSET
1,2
LINKS
Vaclav Kotesovec, Table of n, a(n) for n = 1..1000
FORMULA
a(n) = reverse(8 * a(n-1)) where a(1) = 1.
Conjecture: a(n)^(1/n) tends to 10. - Vaclav Kotesovec, Jan 03 2020
EXAMPLE
a(4) = reverse(8 * a(3))
= reverse(8 * reverse(8 * a(2)))
= reverse(8 * reverse(8 * reverse(8 * a(1))))
= reverse(8 * reverse(8 * reverse(8)))
= reverse(8 * reverse(8 * 8))
= reverse(8 * 46)
= reverse(368)
= 863.
MAPLE
rev:=proc(n) local nn: nn:=convert(n, base, 10): add(nn[j]*10^(nops(nn)-j), j = 1..nops(nn)) end proc: a[1]:=1: for n from 2 to 20 do a[n]:=rev(8*a[n-1]) end do: seq(a[n], n=1..20); # Definition corrected by Emeric Deutsch, Nov 07 2007
MATHEMATICA
NestList[IntegerReverse[8#]&, 1, 20] (* Harvey P. Dale, Dec 22 2018 *)
CROSSREFS
KEYWORD
base,nonn
AUTHOR
Rachit Agrawal (rachit_agrawal(AT)daiict.ac.in), Oct 31 2007
EXTENSIONS
Definition corrected by Emeric Deutsch, Nov 07 2007
Edited by Jon E. Schoenfield, May 10 2019
STATUS
approved