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A110477
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a(n) = Sum_{k=1..n} k*(prime(k) - k).
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1
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1, 4, 16, 40, 110, 182, 336, 480, 750, 1210, 1540, 2236, 2912, 3500, 4400, 5712, 7242, 8322, 10260, 12040, 13552, 16192, 18584, 21800, 26000, 29250, 32004, 35728, 38860, 43090, 52576, 57728, 64328, 69020, 78960, 84360, 92796, 101764, 109720, 119720
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OFFSET
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1,2
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LINKS
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FORMULA
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a(n) = n*(n+1)*(3*prime(n) - 2*n - 1)/6.
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MATHEMATICA
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Table[n*(n + 1)*(3*Prime[n] - 2*n - 1)/6, {n, 1, 50}] (* G. C. Greubel, Aug 28 2017 *)
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PROG
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(PARI) for(n=1, 50, print1(n*(n+1)*(3*prime(n)-2*n-1)/6, ", ")) \\ G. C. Greubel, Aug 28 2017
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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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