A097882 a(n) = floor( n^2/prime(n) ).

0, 1, 1, 2, 2, 2, 2, 3, 3, 3, 3, 3, 4, 4, 4, 4, 4, 5, 5, 5, 6, 6, 6, 6, 6, 6, 7, 7, 7, 7, 7, 7, 7, 8, 8, 8, 8, 8, 9, 9, 9, 9, 9, 10, 10, 10, 10, 10, 10, 10, 11, 11, 11, 11, 11, 11, 12, 12, 12, 12, 13, 13, 12, 13, 13, 13, 13, 13, 13, 14, 14, 14, 14, 14, 14, 15, 15, 15, 15, 15, 15, 15, 15, 16

Offset: 1

Author

Reinhard Zumkeller, Sep 02 2004

Keywords

• nonn
• easy

Links

• G. C. Greubel, Table of n, a(n) for n = 1..1000

Crossrefs

Cf. A000040, A000290, A001221, A069547.

Programs

Mathematica

Table[Floor[n^2/Prime[n]], {n,1,50}] (* G. C. Greubel, May 21 2017 *)

PARI

for(n=1,50, print1(floor(n^2/prime(n)), ", ")) \\ G. C. Greubel, May 21 2017

Formula

a(n) = floor(A000290(n)/A000040(n)).

A000290(n) = a(n)*A000040(n) + A069547(n).