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A109725 Divide primes in groups with 2n+1 elements and add together. +0
3
2, 15, 83, 281, 679, 1367, 2461, 4005, 6223, 9017, 12755, 17281, 22967, 29597, 37793, 47229, 57993, 70957, 85343, 101777, 119469, 141079, 163313, 188201, 216203, 247203, 280897, 316551, 355905, 398825, 445509, 494953, 549737, 605711, 665185 (list; graph; listen)
OFFSET

0,1

COMMENT

First difference of A109724.

FORMULA

a(n) = A109724(n+1) - A109724(n) = A007504((n+1)^2) - A007504(n^2).

MATHEMATICA

f[n_] := Sum[Prime[k], {k, n}]; Table[f[(n+1)^2] - f[n^2], {n, 0, 34}]

CROSSREFS

Cf. A007504, A109722-A109726.

Sequence in context: A041243 A056079 A036239 this_sequence A057152 A002740 A108475

Adjacent sequences: A109722 A109723 A109724 this_sequence A109726 A109727 A109728

KEYWORD

easy,nonn

AUTHOR

Giovanni Teofilatto (g.teofilatto(AT)tiscalinet.it), Aug 10 2005

EXTENSIONS

Edited and extended by Ray Chandler (rayjchandler(AT)sbcglobal.net), Aug 11 2005

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Last modified December 1 19:22 EST 2009. Contains 167811 sequences.


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