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A110477 Sum(k*(prime(k)-k): 1<=k<=n). +0
1
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 (list; graph; listen)
OFFSET

1,2

FORMULA

a(n) = n*(n+1)*(3*prime(n)-2*n-1)/6.

CROSSREFS

Cf. A000217, A000330, A000040.

Sequence in context: A103770 A121318 A152133 this_sequence A007057 A056373 A018828

Adjacent sequences: A110474 A110475 A110476 this_sequence A110478 A110479 A110480

KEYWORD

nonn

AUTHOR

Reinhard Zumkeller (reinhard.zumkeller(AT)gmail.com), Sep 09 2005

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Last modified December 8 08:31 EST 2009. Contains 170430 sequences.


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