%I A129752
%S A129752 15,21,45,105,231,351,465,741,861,1431,1485,3081,3321,4005,7875,10731,
%T A129752 11175,11781,13695,14535,17205,17391,18915,21321,22155,23871,30135,
%U A129752 33411,36585,39621,42195,51681,58311,80601,90525,92235,97461,108345
%N A129752 Triangular numbers t which are average of two consecutive primes p and 
               p+4.
%C A129752 All terms are multiples of 3.
%F A129752 t-/+2 are pair of consecutive primes.
%e A129752 15-/+2=(13,17), 21-/+2=(19,23), 45-/+2=(43,47) are pairs of consecutive 
               primes.
%Y A129752 Cf. A000217, A024675, A130178.
%Y A129752 Sequence in context: A095147 A081977 A063175 this_sequence A015831 A063176 
               A083372
%Y A129752 Adjacent sequences: A129749 A129750 A129751 this_sequence A129753 A129754 
               A129755
%K A129752 nonn
%O A129752 1,1
%A A129752 Zak Seidov (zakseidov(AT)yahoo.com), May 14 2007