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%I #9 May 11 2023 09:34:39
%S 2,5,17,58,129,5117,43201,329401,1459228,111461983,269553485,
%T 316504138,734845192,6185946407,10731178047,22691403557,148086969623,
%U 474635764987,6777574922490,30458710811303
%N a(n) = A007504(A134126(n)).
%C This is the prime partial sum just before the prime is added to achieve an integer mean as defined in A134125.
%e The sequence begins with a(1)=2 (to which 3 is added which leads to a sum 5 associated with A134125(1)).
%e a(4) = 58 (to which the prime 19 is added, a sum of 77, associated with A134125(4)).
%o (UBASIC) 10 'primes using counters 20 N=3:C=1:R=5:print 2;3,5 30 A=3:S=sqrt(N) 40 B=N\A 50 if B*A=N then N=N+2:goto 30 60 A=A+2:O=A 70 if A<=sqrt(N) then 40 80 C=C+1 90 R=R+N:T=R/C:U=R-N 100 if T=int(T) then print C;U;N;R;T:stop 110 N=N+2:goto 30
%Y Cf. A134125, A134126, A134127, A134129.
%K less,nonn
%O 1,1
%A _Enoch Haga_, Oct 09 2007
%E Edited by _R. J. Mathar_, Apr 17 2009
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