A132113 Multiply previous term by 8 and reverse.

1, 8, 46, 863, 4096, 86723, 487396, 8619983, 46895986, 888761573, 4852900117, 63900232883, 460368102115, 296184492863, 4092495749632, 65079956993723, 487949556936025, 28845546953093, 447426573467032, 6526377852149753

Offset: 1

Author

Rachit Agrawal (rachit_agrawal(AT)daiict.ac.in), Oct 31 2007

Keywords

• base
• nonn

Examples

			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.
		

Links

• Vaclav Kotesovec, Table of n, a(n) for n = 1..1000

Crossrefs

Cf. A036447 (*2), A163632 (*3), A132064 (*4), A045539 (*5), A132078 (*6), A132114 (*7), A133361 (*9).

Programs

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 *)

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

Extensions

Definition corrected by Emeric Deutsch, Nov 07 2007

Edited by Jon E. Schoenfield, May 10 2019