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

 Hints (Greetings from The On-Line Encyclopedia of Integer Sequences!)
 A178303 Smallest multiple of 13 such that decimals digits 1, ..., k (k = 1, ..., 9) and 0 appear in any order. 3
 13, 182, 312, 2314, 14235, 125346, 1234675, 12348765, 123456879, 1023457968 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,1 COMMENTS Divisibility of a number N by 13: add the digits of N in alternate blocks of three from right to left, then subtract the two sums: 9th term: 123 456 879: (123 + 879) - 456 = 546, 546: 54 + (6 * 4) = 78 = 6 * 13. REFERENCES Faith Javane, Zahlenmystik: Das Handbuch der Numerologie, Goldmann - Arkana, Frankfurt, 1995 Helmut Kracke, Mathe - musische Knobelisken. Tüfteleien für Tüftler und Laien, Dümmler, Bonn, 1982 Hugo Steinhaus, Kaleidoskop der Mathematik, Deutscher Verlag der Wissenschaften, Berlin, 1959 LINKS Table of n, a(n) for n=1..10. EXAMPLE 1 * 13 = 13 14 * 13 = 182 24 * 13 = 312 178 * 13 = 2314 1095 * 13 = 14235 9642 * 13 = 125346 94975 * 13 = 1234675 949905 * 13 = 12348765 9496683 * 13 = 123456879 78727536 * 13 = 1023457968 CROSSREFS Cf. A171768, A171744. Sequence in context: A009015 A067385 A097260 * A158548 A285399 A297581 Adjacent sequences: A178300 A178301 A178302 * A178304 A178305 A178306 KEYWORD base,fini,full,nonn AUTHOR Eva-Maria Zschorn (e-m.zschorn(AT)zaschendorf.km3.de), May 24 2010, May 26 2010 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 September 26 08:16 EDT 2023. Contains 365654 sequences. (Running on oeis4.)