A162578 Partial sums of A002322.

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

Author

Jonathan Vos Post, Jul 06 2009

Keywords

• easy
• nonn

Links

• G. C. Greubel, Table of n, a(n) for n = 1..10000
• Paul Erdős, Carl Pomerance, and Eric Schmutz, Carmichael's lambda function, Acta Arithmetica, Vol. 58, No. 4 (1991), pp. 363-385; alternative link.

Crossrefs

Cf. A002322, A218342.

Programs

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 *)

PARI

a(n) = sum(i=1, n, lcm(znstar(i)[2])) \\ Felix Fröhlich, Jul 04 2018

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

Extensions

a(13) corrected and more terms added by R. J. Mathar, Jul 16 2009