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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.). 2

%I #11 Sep 24 2018 16:53:14

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

%N 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.).

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

%e a(3) = 15, 51 > 3*15, a(3) is not 14 as 41 < 42 = 3*14. a(12) = 430 > 12*34.

%e a(4) = 17 as 71 > 17*4 but 61 is < 16*4.

%p 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

%Y Cf. A074163.

%K base,nonn,fini,full

%O 1,1

%A _Amarnath Murthy_, Aug 30 2002

%E Edited by _Sascha Kurz_, Jan 15 2003

%E Edited by _N. J. A. Sloane_ at the suggestion of _Andrew S. Plewe_, May 21 2007

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Last modified August 25 17:04 EDT 2024. Contains 375442 sequences. (Running on oeis4.)