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Search: id:A134181
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| A134181 |
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Difference between cumulative prime and odd sums. |
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+0
2
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| 0, 0, 0, 2, 4, 8, 12, 18, 28, 38, 52, 68, 84, 102, 124, 150, 176, 206, 238, 270, 306, 344, 386, 434, 484, 534, 586, 638, 692, 758, 826, 898, 970, 1050, 1130, 1214, 1302, 1392, 1486, 1584, 1682, 1788, 1894, 2002, 2110, 2228, 2356, 2486, 2616, 2748, 2884, 3020
(list; graph; listen)
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OFFSET
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1,4
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COMMENT
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This sequence is the difference between A071148 and A005563, as seen in the following tabular example: 1st 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.
3 3 3 3 0
5 5 8 8 0
7 7 15 15 0
11 9 26 24 2
13 11 39 35 4
17 13 56 48 8
19 15 75 63 12
23 17 98 80 18
29 19 127 99 28
31 21 158 120 38
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FORMULA
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Beginning with 3 for both the prime and odd sequences, compute cumulative sums of both sequences and take the difference
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EXAMPLE
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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.
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PROGRAM
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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
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CROSSREFS
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Cf. A071148 A005563 A134182.
Sequence in context: A006501 A074633 A006500 this_sequence A125606 A136184 A011908
Adjacent sequences: A134178 A134179 A134180 this_sequence A134182 A134183 A134184
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KEYWORD
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easy,nonn
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AUTHOR
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Enoch Haga (Enokh(AT)comcast.net), Oct 13 2007
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