A134181 Difference between cumulative prime and odd sums.

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

Offset

1,4

Comments

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.

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

Links

Table of n, a(n) for n=1..52.

Formula

Beginning with 3 for both the prime and odd sequences, compute cumulative sums of both sequences and take the difference

Example

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.

Prog

(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

Crossrefs

Cf. A071148, A005563, A134182.

Sequence in context: A074633 A294049 A006500 * A171645 A125606 A192078

Adjacent sequences: A134178 A134179 A134180 * A134182 A134183 A134184

Keyword

easy,nonn

Author

Enoch Haga, Oct 13 2007

Status

approved