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A138383 If p(i) = i-th prime, a(n) = p(n)+1 + p(n)+2 + ... + p(n+1). a(0) = 3 by convention. +0
2
3, 3, 9, 13, 38, 25, 62, 37, 86, 159, 61, 207, 158, 85, 182, 303, 339, 121, 387, 278, 145, 459, 326, 519, 748, 398, 205, 422, 217, 446, 1687, 518, 807, 277, 1445, 301, 927, 963, 662, 1023, 1059, 361, 1865, 385, 782, 397, 2466, 2610, 902, 457, 926, 1419, 481, 2465, 1527 (list; graph; listen)
OFFSET

0,1

FORMULA

a(n) = (p(n+1)-p(n))*(p(n+1)+p(n)+1)/2 for n >= 1. - N. J. A. Sloane (njas(AT)research.att.com), May 08 2008

EXAMPLE

3 = 1 + 2;

3 = 3;

9 = 4 + 5;

13 = 6 + 7;

38 = 8 + 9 + 10 + 11;

...

CROSSREFS

Cf. A000040.

Sequence in context: A066314 A083336 A091328 this_sequence A052436 A122847 A105423

Adjacent sequences: A138380 A138381 A138382 this_sequence A138384 A138385 A138386

KEYWORD

easy,nonn

AUTHOR

Odimar Fabeny (aifab(AT)yahoo.com.br), May 08 2008

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Last modified November 29 12:46 EST 2009. Contains 167659 sequences.


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