%I A103729
%S A103729 1,5,13,41,61,113,145,221,365,421,613,761,841,1013,1301,1625,1741,2113,
%T A103729 2381,2521,2965,3281,3785,4513,4901,5101,5513,5725,6161,7813,8321,9113,
%U A103729 9385,10805,11101,12013,12961,13613,14621,15665,16021
%N A103729 Column k=2 sequence of array A103728.
%C A103729 It is clear that the a(n) are natural numbers since only odd primes appear 
               in the formula below.
%F A103729 a(n)=A103728(n+2, 2)=(1 + (p(n+2)-1)*binomial(p(n+2)-1, 2))/p(n+2), with 
               p(n):=A000040(n) (n-th prime).
%F A103729 a(n)= (5 - 4*p(n+2) + p(n+2)^2)/2 = sum(A103718(k, m)*p(n+2)^m, m=0..2)/
               2.
%Y A103729 Sequence in context: A121872 A025490 A087938 this_sequence A027862 A100210 
               A080267
%Y A103729 Adjacent sequences: A103726 A103727 A103728 this_sequence A103730 A103731 
               A103732
%K A103729 nonn,easy
%O A103729 0,2
%A A103729 Wolfdieter Lang (wolfdieter.lang_AT_physik_DOT_uni-karlsruhe_DOT_de), 
               Feb 24 2005