A074164 Smallest k such that R(k) > n*k, where R(k) is the digit reversal of k (A004086) (the reversal of 10 is taken to be 01 = 1, etc.).

12, 13, 15, 17, 106, 107, 108, 109, 1099

Offset

1,1

Comments

As R(k) doesn't increase the number of digits, R(k)<10k and so the sequence is complete. - Sascha Kurz, Jan 15 2003

Links

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

Example

a(3) = 15, 51 > 3*15, a(3) is not 14 as 41 < 42 = 3*14. a(12) = 430 > 12*34.
a(4) = 17 as 71 > 17*4 but 61 is < 16*4.

Maple

P := proc(Nlo, Nhi, Klo, Khi) local A::list, k, n, d, s; d := (X::posint)->convert(X, base, 10):s := (L::list)->sum(L[i]*10^(nops(L)-i), i=1..nops(L)):k := Klo:A := [seq(0, i=1..Nhi-Nlo+1)]: for n from Nlo to Nhi do while k<Khi and s(d(k))<=n*k do k := k+1 od: A[n-Nlo+1] := k; od: return A; end proc; # Francois Jooste (phukraut(AT)hotmail.com), Oct 23 2002

Crossrefs

Cf. A074163.

Sequence in context: A179512 A125664 A262210 * A076085 A039790 A242912

Adjacent sequences: A074161 A074162 A074163 * A074165 A074166 A074167

Keyword

base,nonn,fini,full

Author

Amarnath Murthy, Aug 30 2002

Extensions

Edited by Sascha Kurz, Jan 15 2003

Edited by N. J. A. Sloane at the suggestion of Andrew S. Plewe, May 21 2007

Status

approved