This site is supported by donations to The OEIS Foundation.

 Annual appeal: Please make a donation to keep the OEIS running! Over 6000 articles have referenced us, often saying "we discovered this result with the help of the OEIS". Other ways to donate

 Hints (Greetings from The On-Line Encyclopedia of Integer Sequences!)
 A097569 Right-truncatable Harshad numbers (zeros not permitted). 2
 1, 2, 3, 4, 5, 6, 7, 8, 9, 12, 18, 21, 24, 27, 36, 42, 45, 48, 54, 63, 72, 81, 84, 126, 216, 243, 247, 364, 423, 481, 486, 846, 2478, 8463, 24786 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,2 COMMENTS Harshad numbers in which repeatedly deleting the rightmost digit gives a Harshad at every step until a single digit Harshad remains. Sequence is finite with 24786 being the last term. 24786 can be proved to be the last term by a genetic approach (constructing the whole tree). - Carlos Rivera, Sep 19 2004 LINKS MATHEMATICA harQ[n_]:=Module[{idn=IntegerDigits[n]}, !MemberQ[idn, 0]&&Divisible[n, Total[ idn]]]; rtQ[n_]:=Module[{idn=IntegerDigits[n], c}, c=Table[ FromDigits[ Take[ idn, i]], {i, Length[idn]}]; And@@(harQ/@c)]; Select[ Range[25000], rtQ] (* Harvey P. Dale, Oct 07 2013 *) CROSSREFS Cf. A005349. Sequence in context: A114440 A217973 A097518 * A095160 A288528 A200372 Adjacent sequences:  A097566 A097567 A097568 * A097570 A097571 A097572 KEYWORD base,nonn,fini,full AUTHOR Jason Earls (zevi_35711(AT)yahoo.com), Aug 28 2004 STATUS approved

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

Last modified November 21 22:32 EST 2017. Contains 295054 sequences.