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A162578
Partial sums of A002322.
6
1, 2, 4, 6, 10, 12, 18, 20, 26, 30, 40, 42, 54, 60, 64, 68, 84, 90, 108, 112, 118, 128, 150, 152, 172, 184, 202, 208, 236, 240, 270, 278, 288, 304, 316, 322, 358, 376, 388, 392, 432, 438, 480, 490, 502, 524, 570, 574, 616, 636, 652, 664, 716, 734, 754, 760, 778
OFFSET
1,2
LINKS
Paul Erdős, Carl Pomerance, and Eric Schmutz, Carmichael's lambda function, Acta Arithmetica, Vol. 58, No. 4 (1991), pp. 363-385; alternative link.
FORMULA
a(n) = Sum_{k=1..n} A002322(k).
a(n) = (n^2/log(n)) * exp(B * (log(log(n))/log(log(log(n)))) * (1 + o(1))), where B = A218342 (Erdős et al., 1991). - Amiram Eldar, Dec 27 2022
MAPLE
read("transforms3") ; a002322 := BFILETOLIST("b002322.txt") : A162578 :=proc(n) global a002322 ; local i; add(op(i, a002322), i=1..n) ; end: seq(A162578(n), n=1..120) ; # R. J. Mathar, Jul 16 2009
MATHEMATICA
Accumulate[CarmichaelLambda[Range[60]]] (* Harvey P. Dale, Sep 21 2011 *)
PROG
(PARI) a(n) = sum(i=1, n, lcm(znstar(i)[2])) \\ Felix Fröhlich, Jul 04 2018
CROSSREFS
Sequence in context: A072542 A167856 A293750 * A152919 A306564 A002088
KEYWORD
easy,nonn
AUTHOR
Jonathan Vos Post, Jul 06 2009
EXTENSIONS
a(13) corrected and more terms added by R. J. Mathar, Jul 16 2009
STATUS
approved

  NODES
COMMUNITY 1
INTERN 1