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A112039 Let b(0)=1/2, b(n) = b(n-1) + Prime[n]/2; a(n)=b(2*n). 1
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; refs; listen; history; text; internal format)
OFFSET

1,1

REFERENCES

H. L. Nelson, "Prime Sums", J. Rec. Math., 14 (1981), 205-206.

LINKS

Table of n, a(n) for n=1..46.

Eric Weisstein's World of Mathematics, Prime Sums.

FORMULA

Asymptotically b(n) ~ 2 * n^2 * (log 2 + log(n)). - Jonathan Vos Post, Nov 29 2005

b(n) = (1 + A007504(2*n))/2. - Jonathan Vos Post, 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: A014857 A177817 A292392 * A007518 A029494 A059774

Adjacent sequences:  A112036 A112037 A112038 * A112040 A112041 A112042

KEYWORD

nonn

AUTHOR

Roger L. Bagula, Nov 28 2005

STATUS

approved

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Last modified November 14 22:45 EST 2019. Contains 329135 sequences. (Running on oeis4.)