Search: id:A050237
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%I A050237
%S A050237 1,2,5,12,38,30,173,165,12259,8803,36735,67263,5296771,32975,1147233
%N A050237 a(n) = the smallest number m such that there are exactly n sets of consecutive 
               primes, each of which has an arithmetic mean of m.
%C A050237 First appearance of n in A122821.
%e A050237 a(4) = 38 because there are exactly four sets of consecutive primes which 
               have means
%e A050237 of 38: {31,37,41,43}, {29,...,47}, {23,...,53} and {2,...,83},
%o A050237 (PARI) {a(n)= m=2; starting_index=1; k=starting_index; sum_of_primes=0; 
               prime_count=0; sets=0; until( (prime(starting_index)>m) && (sets==n), 
               if( (prime(starting_index)> m) || (sets>n), m++; sets=0; starting_index=1; 
               k=starting_index); sum_of_primes=sum_of_primes+prime(k); prime_count++; 
               mean=sum_of_primes/ prime_count; if(mean<m, k++, sum_of_primes=0; 
               prime_count=0; starting_index++; k=starting_index; if(mean==m, sets++))); 
               return(m)} (from Rick L. Shepherd (rshepherd2(AT)hotmail.com), Jun 
               14 2004)
%Y A050237 Cf. A060863, A082431, A122821.
%Y A050237 Sequence in context: A115277 A130221 A036782 this_sequence A050258 A051436 
               A054581
%Y A050237 Adjacent sequences: A050234 A050235 A050236 this_sequence A050238 A050239 
               A050240
%K A050237 more,nonn
%O A050237 0,2
%A A050237 Naohiro Nomoto (n_nomoto(AT)yabumi.com), May 08 2003
%E A050237 Edited by Don Reble (djr(AT)nk.ca), Jun 17 2003

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