This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.
%I A046670 #35 Aug 09 2025 03:17:12 %S A046670 1,3,6,8,13,16,23,25,28,33,44,47,60,67,72,74,91,94,113,118,125,136, %T A046670 159,162,167,180,183,190,219,224,255,257,268,285,292,295,332,351,364, %U A046670 369,410,417,460,471,476,499,546,549,556,561,578,591,644,647,658,665,684 %N A046670 Partial sums of A006530. %D A046670 Handbook of Number Theory, D. S. Mitrinovic et al., Kluwer, Section IV.1. %H A046670 T. D. Noe, <a href="/A046670/b046670.txt">Table of n, a(n) for n = 1..1000</a> %H A046670 K. Alladi and P. Erdős, <a href="http://projecteuclid.org/euclid.pjm/1102811427">On an additive arithmetic function</a>, Pacific J. Math., Volume 71, Number 2 (1977), 275-294. MR 0447086 (56 #5401). %H A046670 A. E. Brouwer, <a href="/A046670/a046670.pdf">Two number theoretic sums</a>, Stichting Mathematisch Centrum. Zuivere Wiskunde, Report ZW 19/74 (1974): 3 pages. [Cached copy, included with the permission of the author] %F A046670 a(n) = Pi^2/12 * n^2/log n + O(n^2/log^2 n). [See Mitrinovic et al.] - _Charles R Greathouse IV_, Feb 19 2014 %t A046670 Accumulate[Prepend[Table[FactorInteger[n][[-1,1]],{n,2,100}],1]] (* _Harvey P. Dale_, Jun 11 2011 *) %o A046670 (Haskell) %o A046670 a046670 n = a046670_list !! (n-1) %o A046670 a046670_list = scanl1 (+) a006530_list -- _Reinhard Zumkeller_, Jun 15 2013 %o A046670 (PARI) gpf(n)=if(n<4,n,n=factor(n)[,1];n[#n]) %o A046670 a(n)=sum(k=1,n,gpf(k)) \\ _Charles R Greathouse IV_, Feb 19 2014 %Y A046670 Cf. A006530, A046669, A104350, A360559. %K A046670 nonn,nice,easy %O A046670 1,2 %A A046670 _N. J. A. Sloane_ %E A046670 More terms from _James Sellers_