Search: id:A159910
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%I A159910
%S A159910 0,3,3,21,22,13,7,39,7,73,126,119,88,3,11,66,29,17,53,42,101,214,104,
%T A159910 298,252,133,255,141,76,91,168,81,45,56,203,301,43,66,291,223,92,97,442,
%U A159910 290,437,281,38,144,549,241,29,192,11,518,266,490,122,130,13,329,85,209
%N A159910 Distance of prime quadruplets divided by 30, rounded towards the nearest 
               integer.
%C A159910 First differences of A007530, divided by 30 (and rounded to 0 for a(1)). 
               The first prime quadruplet is the only one not starting at 11 (mod 
               30), and has no corresponding value in A014561. The "distance" can 
               mean distance of starting points, or distance of barycenters, but 
               also the distance in the strict sense (differing by 8 from the former), 
               which gives the same value after rounding to the nearest integer.
%F A159910 a(n) = (A007530(n+1)-A007530(n))/30 = A014561(n)-A014561(n-1) for n>1.
%o A159910 (PARI) A159910( n, list=0, s=5 )={ my(o,p,q,r); until(n--<0, o=s; until( 
               p+8==s=nextprime(s+2), p=q; q=r; r=s); list & p>o & print1((s-o)\30,
               ","););(s-o)\30}
%Y A159910 Sequence in context: A078431 A112534 A006656 this_sequence A130723 A036114 
               A092864
%Y A159910 Adjacent sequences: A159907 A159908 A159909 this_sequence A159911 A159912 
               A159913
%K A159910 nonn
%O A159910 1,2
%A A159910 M. F. Hasler (MHasler(AT)univ-ag.fr), May 04 2009

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