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%I #9 May 11 2023 09:35:24
%S 0,0,0,2,4,8,12,18,28,38,52,68,84,102,124,150,176,206,238,270,306,344,
%T 386,434,484,534,586,638,692,758,826,898,970,1050,1130,1214,1302,1392,
%U 1486,1584,1682,1788,1894,2002,2110,2228,2356,2486,2616,2748,2884,3020
%N Difference between cumulative prime and odd sums.
%C This sequence is the difference between A071148 and A005563, as seen in the following tabular example: first column is prime, 2nd is odd, 3rd is prime sum (A071148), 4th is odd sum (A005563), 5th is the difference at each summation, the prime sequence increasingly greater.
%C 3 3 3 3 0
%C 5 5 8 8 0
%C 7 7 15 15 0
%C 11 9 26 24 2
%C 13 11 39 35 4
%C 17 13 56 48 8
%C 19 15 75 63 12
%C 23 17 98 80 18
%C 29 19 127 99 28
%C 31 21 158 120 38
%F Beginning with 3 for both the prime and odd sequences, compute cumulative sums of both sequences and take the difference
%e a(2)=0 because for the prime sequence beginning at 3, the sum is 8 (3+5). For the odd sequence beginning at 3 the sum is also 8 (3+5) and 8-8=0.
%o (UBASIC) 10 N=1:A=2 20 A=nxtprm(A):B=B+A 30 N=N+2:D=D+N 40 print A;N;B;D;B-D:stop 50 C=C+1: if C<60 then 20
%Y Cf. A071148, A005563, A134182.
%K easy,nonn
%O 1,4
%A _Enoch Haga_, Oct 13 2007
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