|
Search: id:A112039
|
|
|
| A112039 |
|
Let b(0)=1/2, b(n) = b(n-1) + Prime[n]/2; a(n)=b(2*n). |
|
+0
2
|
|
| 3, 9, 21, 39, 65, 99, 141, 191, 251, 320, 396, 482, 581, 686, 797, 926, 1064, 1214, 1374, 1544, 1724, 1916, 2114, 2331, 2559, 2795, 3041, 3301, 3571, 3850, 4138, 4447, 4762, 5096, 5444, 5800, 6170, 6551, 6944, 7349, 7769, 8201, 8642, 9095, 9557, 10030
(list; graph; listen)
|
|
|
OFFSET
|
1,1
|
|
|
REFERENCES
|
H. L. Nelson, "Prime Sums", J. Rec. Math., 14 (1981), 205-206.
|
|
LINKS
|
Eric Weisstein's World of Mathematics, Prime Sums.
|
|
FORMULA
|
Asymptotically b(n) ~ 2 * n^2 * (log 2 + log(n)). - Jonathan Vos Post (jvospost3(AT)gmail.com), Nov 29 2005
b(n) = (1 + A007504(2*n))/2. - Jonathan Vos Post (jvospost3(AT)gmail.com), Nov 29 2005
|
|
MATHEMATICA
|
a[0] = 1/2; a[n_] := a[n] = a[n - 1] + Prime[n]/2 bb = Table[a[2*n], {n, 1, 200}]
|
|
CROSSREFS
|
Cf. A000040, A007504.
Sequence in context: A048780 A009864 A014857 this_sequence A007518 A029494 A059774
Adjacent sequences: A112036 A112037 A112038 this_sequence A112040 A112041 A112042
|
|
KEYWORD
|
nonn
|
|
AUTHOR
|
Roger L. Bagula (rlbagulatftn(AT)yahoo.com), Nov 28 2005
|
|
|
Search completed in 0.002 seconds
|
