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A120721 Partial sums of A079645. 3

%I #13 Jul 20 2023 16:37:01

%S 1,3,6,10,15,21,28,36,46,58,72,88,106,126,148,172,198,225,255,288,324,

%T 363,405,450,498,549,603,660,720,783,847,915,987,1063,1143,1227,1315,

%U 1407,1503,1603,1707,1815,1927,2043,2163,2287,2412,2542,2677,2817,2962,3112,3267

%N Partial sums of A079645.

%H G. C. Greubel, <a href="/A120721/b120721.txt">Table of n, a(n) for n = 1..10000</a>

%F a(n) = Sum_{j=1..n} A079645(j).

%t Accumulate[Select[Range[300],Divisible[#,Floor[CubeRoot[#]]]&]] (* _Harvey P. Dale_, Jun 19 2023 *)

%o (Magma)

%o A079645:=[n: n in [1..500] | n mod Floor(n^(1/3)) eq 0 ];

%o [(&+[A079645[k]: k in [1..n]]): n in [1..100]]; // _G. C. Greubel_, Jul 20 2023

%o (SageMath)

%o A079645=[j for j in (1..500) if j%(floor(j^(1/3)))==0]

%o def A120721(n): return sum(A079645[k] for k in range(n+1))

%o [A120721(n) for n in range(101)] # _G. C. Greubel_, Jul 20 2023

%Y Cf. A079645, A032378, A112873.

%K nonn

%O 1,2

%A _N. J. A. Sloane_, Oct 29 2006

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Last modified May 15 21:53 EDT 2024. Contains 372549 sequences. (Running on oeis4.)