Search: id:A075618
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%I A075618
%S A075618 1,2,4,3,5,6,8,7,10,9,14,11,12,13,20,15,22,16,30,17,28,18,32,19,31,21,
%T A075618 24,23,35,25,44,26,48,27,40,29,49,33,60,34,53,36,52,37,50,38,72,39,75,
%U A075618 41,56,42,64,43,68,45,67,46,80,47,83,51,104,54,71,55,86,57,95,58,100,59
%N A075618 Rearrangement of natural numbers so that starting with a(n) the concatenation 
               of n numbers is divisible by n. Choose the smallest number that has 
               not already appeared if there is a choice.
%e A075618 2 divides 24, 3 divides 435, 4 divides 3568, etc.
%p A075618 a:=proc(n) option remember; local t, S, i; S:={$1..300} minus {seq(a(i),
               i=1..n-1)}; t:=min(S[]); if n::odd then while parse(cat(seq(a((n+1)/
               2+i),i=0..(n-3)/2),t)) mod (n+1)/2 <> 0 do S:=S minus {t}; t:=min(S[]) 
               od fi; t end: a(1):=1: seq(a(n),n=1..186); (Alec Mihailovs)
%Y A075618 Cf. A075619, A083195.
%Y A075618 Sequence in context: A133256 A095690 A094870 this_sequence A095689 A083194 
               A105366
%Y A075618 Adjacent sequences: A075615 A075616 A075617 this_sequence A075619 A075620 
               A075621
%K A075618 base,nonn
%O A075618 1,2
%A A075618 Amarnath Murthy (amarnath_murthy(AT)yahoo.com), Sep 29 2002
%E A075618 More terms from Alec Mihailovs (alec(AT)mihailovs.com), Jul 05 2004

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