Search: id:A095238
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%I A095238
%S A095238 1,2,0,12,0,18,35,32,9,90,11,72,117,98,30,240,34,162,247,200,63,462,69,
%T A095238 288,425,338,108,756,116,450,651,512,165,1122,175,648,925,722,234,1560,
%U A095238 246,882,1247,968,315,2070,329,1152,1617,1250,408,2652,424,1458,2035
%N A095238 a(1) = 1, a(n) = n*(sum of all previous terms mod n).
%C A095238 An open question is whether the sequence contains zeros except for the 
               3rd and the 5th number. I checked this up to a(10000), which happens 
               to be 99990000. - Johan Claes (Johan.Claes(AT)luc.ac.be), Jun 16 
               2004
%F A095238 Appears to satisfy a linear recurrence with characteristic polynomial 
               (1+x)(1+x^3)^2(1-x^3)^3 (checked up to n = 10^4). - Ralf Stephan, 
               Dec 04 2004
%e A095238 a(6) = 6*(1+2+0+12+0 mod 6) = 18.
%p A095238 A095238:=proc(n) option remember; n*(add(A095238(i),i=1..n-1) mod n) 
               end: A095238(1):=1: seq(A095238(n),n=1..100);
%t A095238 a[1] = 1; a[n_] := a[n] = n*Mod[Sum[a[i], {i, n - 1}], n]; Table[ a[n], 
               {n, 55}] (from Robert G. Wilson v Jun 16 2004)
%o A095238 (PARI) a=vector(1000);a[1]=1;for(i=2,1000,a[i]=i*lift(Mod(sum(j=1,i-1,
               a[j]),i)))
%Y A095238 Cf. A074143.
%Y A095238 Sequence in context: A102869 A075533 A053814 this_sequence A167345 A156431 
               A067994
%Y A095238 Adjacent sequences: A095235 A095236 A095237 this_sequence A095239 A095240 
               A095241
%K A095238 nonn
%O A095238 1,2
%A A095238 Amarnath Murthy (amarnath_murthy(AT)yahoo.com), Jun 15 2004
%E A095238 More terms from Alec Mihailovs (alec(AT)mihailovs.com), Robert G. Wilson 
               v (rgwv(AT)rgwv.com) and Johan Claes (Johan.Claes(AT)luc.ac.be), 
               Jun 16 2004

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