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(1/2)*A206803.
4

%I #5 Mar 30 2012 18:58:12

%S 1,4,13,26,49,78,121,188,264,370,498,638,804,1012,1265,1534,1854,2210,

%T 2585,3020,3497,4040,4675,5358,6066,6826,7613,8456,9502,10608,11807,

%U 13038,14434,15864,17399,19042,20759,22590,24538,26526,28719

%N (1/2)*A206803.

%t s[k_] := Prime[k + 1]; t[1] = 0;

%t p[n_] := Sum[s[k], {k, 1, n}];

%t c[n_] := n*s[n] - p[n]

%t t[n_] := t[n - 1] + (n - 1) s[n] - p[n - 1]

%t Table[c[n], {n, 2, 100}] (* A185382 *)

%t %/2 (* A206802 *)

%t Flatten[Table[t[n], {n, 2, 40}]] (* A206803 *)

%t %/2 (* A206804 *)

%Y Cf. A206803.

%K nonn

%O 2,2

%A _Clark Kimberling_, Feb 13 2012