Repartition of the triangular numbers (A000217) in log(kn)

8. 10. 12. 14. 0. 2. 4. 6. 8. 10 12 14 log(Ln) log(kn). Figure 3: Repartition of the pentagonal numbers (A000217) in log(kn) vs. log(Ln) coordi- nates (n ≤ 1000). 2.
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14 12 10 log(Ln ) 8 6 4 2 0

0

2

4

6

8 10 log(kn )

12

14

16

18

Figure 1: Repartition of the triangular numbers (A000217) in log(kn ) vs. log(Ln ) coordinates (n ≤ 9999).

1

16 14 12 log(Ln10 ) 8 6 4 2 0

0

2

4

6

8 10 12 14 16 18 log(kn )

Figure 2: Repartition of the square numbers (A000326) in log(kn ) vs. log(Ln ) coordinates (n ≤ 10000).

14 12 10 log(Ln )8 6 4 2 0

0

2

4

6 8 10 log(kn )

12

14

Figure 3: Repartition of the pentagonal numbers (A000217) in log(kn ) vs. log(Ln ) coordinates (n ≤ 1000).

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