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A072107 a(n) = Sum_{k=1..n} A014963(k). 3
1, 3, 6, 8, 13, 14, 21, 23, 26, 27, 38, 39, 52, 53, 54, 56, 73, 74, 93, 94, 95, 96, 119, 120, 125, 126, 129, 130, 159, 160, 191, 193, 194, 195, 196, 197, 234, 235, 236, 237, 278, 279, 322, 323, 324, 325, 372, 373, 380, 381, 382, 383, 436, 437, 438, 439, 440, 441 (list; graph; refs; listen; history; text; internal format)
OFFSET
1,2
COMMENTS
Is there an expression for lim_{n -> infinity} a(n)/n^2?
Equals row sums of triangle A140582. - Gary W. Adamson, May 17 2008
LINKS
MATHEMATICA
Accumulate[Table[Exp[MangoldtLambda[n]], {n, 1, 60}]] (* Amiram Eldar, May 05 2022 *)
PROG
(PARI) for(n=2, 100, print1(1+sum(k=2, n, if(if(omega(k)-1, 0, 1)*component(component(factor(k), 1), 1), if(omega(k)-1, 0, 1)*component(component(factor(k), 1), 1), 1)), ", "))
CROSSREFS
Sequence in context: A350928 A049827 A186736 * A084578 A190493 A070881
KEYWORD
easy,nonn
AUTHOR
Benoit Cloitre, Jun 19 2002
STATUS
approved

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Last modified March 18 22:56 EDT 2024. Contains 370952 sequences. (Running on oeis4.)