This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.
%I A188201 #6 Mar 30 2012 17:22:57 %S A188201 2,3,5,5,8,8,8,17,14,13,13,13,20,18,23,33,26,21,21,21,32,28,35,49,29, %T A188201 33,41,57,44,38,34,34,34,43,53,73,56,48,45,81,62,53,47,89,68,53,71,97, %U A188201 74,63,77,55,55,55,60,113,86,73,89,69,92,78,95,129,98,83,73,137,104,88 %N A188201 The least base-n Keith number >= n. %C A188201 Keith numbers are described in A007629. It appears that a(n) < 2n. If n or n+1 is a Fibonacci number f, then a(n) = f. If n>3 and n+2 is a Fibonacci number f, then a(n) = f. The graph shows that 2n-1, 3n/2-1, and 8(n-5)/7+5 are frequent values of a(n). %H A188201 T. D. Noe, <a href="/A188201/b188201.txt">Table of n, a(n) for n = 2..1000</a> %t A188201 IsKeith[n_,b_] := Module[{d, s, k}, d = IntegerDigits[n, b]; s = Total[d]; k = 1; While[AppendTo[d, s]; s = 2 s - d[[k]]; s < n, k++]; s == n]; Table[k = n; While[! IsKeith[k, n], k++]; k, {n, 2, 100}] %Y A188201 Cf. A007629 (base 10), A162724 (base 2), A187713 (base 5), A188195-A188200. %K A188201 nonn,base %O A188201 2,1 %A A188201 _T. D. Noe_, Mar 24 2011