The OEIS is supported by the many generous donors to the OEIS Foundation.

 Year-end appeal: Please make a donation to the OEIS Foundation to support ongoing development and maintenance of the OEIS. We are now in our 59th year, we have over 358,000 sequences, and we’ve crossed 10,300 citations (which often say “discovered thanks to the OEIS”). Other ways to Give
 Hints (Greetings from The On-Line Encyclopedia of Integer Sequences!)
 A160093 Number of digits in n, excluding any trailing zeros. 27
 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 3, 3, 3, 3, 3 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,11 LINKS Indranil Ghosh, Table of n, a(n) for n = 1..10000 FORMULA From Hieronymus Fischer, Jun 08 2012: (Start) With m = floor(log_10(n)), frac(x) = x-floor(x): a(n) = 1 + Sum_{j=0..m} ceiling(frac(n/10^j)). a(n) = 1 - Sum_{j=1..m} (floor(-frac(n/10^j))). a(n)= A055642(n) + A054899(n-1) - A054899(n). G.f.: (x/(1-x)) + (1/(1-x))*Sum_{j>0} x^(10^j+1)*(1 - x^(10^j-1))/(1-x^10^j). (End) a(n) = A055642(A004086(n)). - Indranil Ghosh, Jan 11 2017 a(n) = A055642(A004151(n)). - Amiram Eldar, Sep 14 2020 EXAMPLE a(1060000) = 3 because discarding the trailing zeros from 1060000 leaves 106, which is a 3-digit number. MATHEMATICA lnzd[n_]:=Module[{spl=Last[Split[IntegerDigits[n]]]}, If[!MemberQ[ spl, 0], IntegerLength[n], IntegerLength[n]-Length[spl]]]; Array[lnzd, 110] (* Harvey P. Dale, Jun 05 2013 *) Table[IntegerLength[n] - IntegerExponent[n, 10], {n, 100}] (* Amiram Eldar, Sep 14 2020 *) PROG (Python) def A160093(n): return len(str(int(str(n)[::-1]))) # Indranil Ghosh, Jan 11 2017 (PARI) a(n)=if(n==0, 1, #digits(n/10^valuation(n, 10))) \\ Joerg Arndt, Jan 11 2017 (PARI) a(n)=logint(n, 10)+1-valuation(n, 10) \\ Charles R Greathouse IV, Jan 12 2017 CROSSREFS Cf. A004151, A054899, A055640, A055641, A055642, A102669, A122840, A122841, A160094, A196563, A196564. Sequence in context: A231072 A055640 A098378 * A259143 A035931 A330634 Adjacent sequences: A160090 A160091 A160092 * A160094 A160095 A160096 KEYWORD base,easy,nonn AUTHOR Anonymous, May 01 2009 EXTENSIONS Simpler definition and changed example from Jon E. Schoenfield, Feb 15 2014 STATUS approved

Lookup | Welcome | Wiki | Register | Music | Plot 2 | Demos | Index | Browse | More | WebCam
Contribute new seq. or comment | Format | Style Sheet | Transforms | Superseeker | Recents
The OEIS Community | Maintained by The OEIS Foundation Inc.

Last modified December 5 15:27 EST 2022. Contains 358588 sequences. (Running on oeis4.)