Search: id:A158851
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%I A158851
%S A158851 1,2,2,2,0,4,4,3,0,1,0,4,0,0,8,5,0,14,0,0,0,15,0,5,0,18,0,1,0,20,16,0,
               0,
%T A158851 0,0,2,0,0,0,15,0,15,0,0,0,8,0,21,0,0,0,29,0,0,0,0,0,21,0,16,0,0,32,0,
               0,
%U A158851 29,0,0,0,23,0,22,0,0,0,0,0,30,0,54,0,71,0,0,0,0,0,37,0,0,0,0,0,0,0,7,
               0
%N A158851 a(n) = LCM(1,2,3,...,n) (mod(n+1)).
%C A158851 If n+1 is not a power of a prime, then a(n) = 0.
%C A158851 If n+1 = p^m, p = prime, then p^(m-1) (= (n+1)/p) divides a(n), but p^m 
               (= n+1) does not divide a(n).
%e A158851 LCM(1,2,3,4,5,6) = 60, which is congruent to 4 (mod 7). So, a(6) = 4.
%p A158851 a := proc (n) options operator, arrow: `mod`(lcm(seq(j, j = 1 .. n)), 
               n+1) end proc: seq(a(n), n = 1 .. 100); [From Emeric Deutsch (deutsch(AT)duke.poly.edu), 
               Apr 03 2009]
%Y A158851 A003418
%Y A158851 Sequence in context: A000091 A155123 A125938 this_sequence A151930 A084203 
               A073358
%Y A158851 Adjacent sequences: A158848 A158849 A158850 this_sequence A158852 A158853 
               A158854
%K A158851 nonn
%O A158851 1,2
%A A158851 Leroy Quet (q1qq2qqq3qqqq(AT)yahoo.com), Mar 28 2009
%E A158851 More terms from Emeric Deutsch (deutsch(AT)duke.poly.edu), Apr 03 2009

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