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 A013941 a(n) = Sum_{k = 1..n} floor(n/prime(k)^3). 1
 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 3, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 7, 7, 7, 7, 7, 7, 8, 8, 9, 9, 9, 9, 9, 9, 9, 9, 10, 10, 10, 10, 10, 10, 10, 10, 11, 11, 11, 11 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,16 LINKS FORMULA G.f.: (1/(1 - x))*Sum_{k>=1} x^(prime(k)^3)/(1 - x^(prime(k)^3)). - Ilya Gutkovskiy, Feb 11 2017 MAPLE A013941:=n->add(floor(n/ithprime(k)^3), k=1..n): seq(A013941(n), n=1..150); # Wesley Ivan Hurt, Jan 29 2017 MATHEMATICA Table[Floor[Sum[n/Prime[k]^3, {k, n}]], {n, 75}] (* Alonso del Arte, Jan 29 2017 *) PROG (PARI) a(n) = sum(k = 1, n, n\prime(k)^3); \\ Michel Marcus, Aug 24 2013 CROSSREFS Cf. A013940. Partial sums of A295659. Sequence in context: A179528 A105390 A347941 * A061798 A345206 A318585 Adjacent sequences:  A013938 A013939 A013940 * A013942 A013943 A013944 KEYWORD nonn,easy AUTHOR STATUS approved

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Last modified August 14 10:58 EDT 2022. Contains 356116 sequences. (Running on oeis4.)