cp's OEIS Frontend

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.

A178303 Smallest multiple of 13 such that decimals digits 1, ..., k (k = 1, ..., 9) and 0 appear in any order.

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%I A178303 #12 Sep 26 2018 03:30:29
%S A178303 13,182,312,2314,14235,125346,1234675,12348765,123456879,1023457968
%N A178303 Smallest multiple of 13 such that decimals digits 1, ..., k (k = 1, ..., 9) and 0 appear in any order.
%C A178303 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:
%C A178303 9th term: 123 456 879: (123 + 879) - 456 = 546, 546: 54 + (6 * 4) = 78 = 6 * 13.
%D A178303 Faith Javane, Zahlenmystik: Das Handbuch der Numerologie, Goldmann - Arkana, Frankfurt, 1995
%D A178303 Helmut Kracke, Mathe - musische Knobelisken. Tüfteleien für Tüftler und Laien, Dümmler, Bonn, 1982
%D A178303 Hugo Steinhaus, Kaleidoskop der Mathematik, Deutscher Verlag der Wissenschaften, Berlin, 1959
%e A178303          1 * 13 =         13
%e A178303         14 * 13 =        182
%e A178303         24 * 13 =        312
%e A178303        178 * 13 =       2314
%e A178303       1095 * 13 =      14235
%e A178303       9642 * 13 =     125346
%e A178303      94975 * 13 =    1234675
%e A178303     949905 * 13 =   12348765
%e A178303    9496683 * 13 =  123456879
%e A178303   78727536 * 13 = 1023457968
%Y A178303 Cf. A171768, A171744.
%K A178303 base,fini,full,nonn
%O A178303 1,1
%A A178303 Eva-Maria Zschorn (e-m.zschorn(AT)zaschendorf.km3.de), May 24 2010, May 26 2010