This site is supported by donations to The OEIS Foundation.

 Please make a donation to keep the OEIS running. We are now in our 55th year. In the past year we added 12000 new sequences and reached 8000 citations (which often say "discovered thanks to the OEIS"). We need to raise money to hire someone to manage submissions, which would reduce the load on our editors and speed up editing. Other ways to donate

 Hints (Greetings from The On-Line Encyclopedia of Integer Sequences!)
 A323415 Numbers equal to the carryless sum of their divisors. 1
 1, 14, 84, 120, 1180, 1450, 10180, 12784, 100180, 101180, 114500, 139204, 1100180, 10000180, 10010180, 10111180, 11000180, 85937220, 101011180, 101101180, 101110180, 101111180, 110000180, 111001180, 111100180, 111101180, 111110180 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,2 COMMENTS Equivalently, numbers k such that A323394(k) = k. LINKS EXAMPLE For k = 14: - the divisors of 14 are: 1, 2, 7, 14, - the sum of the units are: 1 + 2 + 7 + 4 = 14 == 4 (mod 10), - the sum of the tens are: 1, - hence A323394(14) = 14 and 14 belongs to the sequence. PROG (PARI) isok(n, base=10) = my (v=[]); fordiv (n, d, my (w=Vecrev(digits(d, base))); v=vector(max(#v, #w), k, (if (k>#v, w[k], k>#w, v[k], (v[k]+w[k])%base)))); fromdigits(Vecrev(v), base)==n CROSSREFS Cf. A323394. Sequence in context: A250562 A166819 A108683 * A166389 A085036 A107935 Adjacent sequences:  A323412 A323413 A323414 * A323416 A323417 A323418 KEYWORD nonn,base AUTHOR Rémy Sigrist, Jan 13 2019 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
The OEIS Community | Maintained by The OEIS Foundation Inc.

Last modified December 7 09:33 EST 2019. Contains 329843 sequences. (Running on oeis4.)