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A112039
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Let b(0)=1/2, b(n) = b(n-1) + Prime[n]/2; a(n)=b(2*n).
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1
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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
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OFFSET
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1,1
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REFERENCES
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H. L. Nelson, "Prime Sums", J. Rec. Math., 14 (1981), 205-206.
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LINKS
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Eric Weisstein's World of Mathematics, Prime Sums.
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FORMULA
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MATHEMATICA
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a[0] = 1/2; a[n_] := a[n] = a[n - 1] + Prime[n]/2 bb = Table[a[2*n], {n, 1, 200}]
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CROSSREFS
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KEYWORD
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nonn
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AUTHOR
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STATUS
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approved
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