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1, 3, 6, 8, 13, 15, 22, 24, 27, 29, 40, 42, 55, 57, 60, 62, 79, 81, 100, 102, 105, 107, 130, 132, 137, 139, 142, 144, 173, 175, 206, 208, 211, 213, 218, 220, 257, 259, 262, 264, 305, 307, 350, 352, 355, 357, 404, 406, 413, 415, 418, 420, 473
(list;
graph;
refs;
listen;
history;
text;
internal format)
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OFFSET
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1,2
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REFERENCES
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M. Kalecki, On certain sums extended over primes or prime factors (in Polish), Prace Mat., Vol. 8 (1963/64), pp. 121-129.
József Sándor, Dragoslav S. Mitrinovic and Borislav Crstici, Handbook of Number Theory I, Springer Science & Business Media, 2005, Section IV.1, p. 121.
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LINKS
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T. D. Noe, Table of n, a(n) for n = 1..1000
A. E. Brouwer, Two number theoretic sums, Stichting Mathematisch Centrum. Zuivere Wiskunde, Report ZW 19/74 (1974): 3 pages. [Cached copy, included with the permission of the author]
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FORMULA
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a(n) = A088821(n) + 1.
From Amiram Eldar, Mar 04 2021: (Start)
a(n) ~ ((1 + o(1))/2)* n^2/log(n) (Kalecki, 1963/64).
a(n) ~ (1/2) * n^2/log(n) + O(n^2/log(n)^2) (Brouwer, 1974). (End)
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MATHEMATICA
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Accumulate[Array[FactorInteger[#][[1, 1]]&, 60]] (* Harvey P. Dale, Apr 20 2011 *)
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PROG
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(Haskell)
a046669 n = a046669_list !! (n-1)
A046669_list = scanl1 (+) a020639_list -- Reinhard Zumkeller, Jun 15 2013
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CROSSREFS
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Cf. A020639, A046670, A072486, A088821.
Sequence in context: A084578 A190493 A070881 * A046670 A131383 A219730
Adjacent sequences: A046666 A046667 A046668 * A046670 A046671 A046672
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KEYWORD
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nonn,nice,easy,changed
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AUTHOR
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N. J. A. Sloane
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STATUS
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approved
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