Search: id:A076310
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%I A076310
%S A076310 0,4,8,12,16,20,24,28,32,36,1,5,9,13,17,21,25,29,33,37,2,6,10,14,18,22,
%T A076310 26,30,34,38,3,7,11,15,19,23,27,31,35,39,4,8,12,16,20,24,28,32,36,40,5,
%U A076310 9,13,17,21,25,29,33,37,41,6,10,14,18,22,26,30,34,38,42,7,11,15,19,23
%N A076310 Floor(n/10) + 4*(n mod 10).
%C A076310 (n==0 modulo 13) iff (a(n)==0 modulo 13); applied recursivly, this property 
               provides a divisibility test for numbers given in base 10 notation.
%D A076310 Karl Menninger, Rechenkniffe, Vandenhoeck & Ruprecht in Goettingen (1961), 
               79A.
%H A076310 Eric Weisstein's World of Mathematics, <a href="http://mathworld.wolfram.com/
               DivisibilityTests.html">Divisibility Tests</a>.
%e A076310 435598 is not a multiple of 13, as 435598 -> 43559+4*8=43591 -> 4359+4*1=4363 
               -> 436+4*3=448 -> 44+4*8=76 -> 7+4*6=29=13*2+3, therefore the answer 
               is NO;
%e A076310 is 8424 divisible by 13? 8424 -> 842+4*4=858 -> 85+4*8=117 -> 11+4*7=39=13*3, 
               therefore the answer is YES.
%Y A076310 Cf. A008595, A076309, A076311, A076312.
%Y A076310 Sequence in context: A113645 A086133 A100716 this_sequence A161352 A008586 
               A059558
%Y A076310 Adjacent sequences: A076307 A076308 A076309 this_sequence A076311 A076312 
               A076313
%K A076310 nonn
%O A076310 0,2
%A A076310 Reinhard Zumkeller (reinhard.zumkeller(AT)gmail.com), Oct 06 2002

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