A321667 (3/2) * n^(2/3) rounded to nearest integer.

2, 2, 3, 4, 4, 5, 5, 6, 6, 7, 7, 8, 8, 9, 9, 10, 10, 10, 11, 11, 11, 12, 12, 12, 13, 13, 14, 14, 14, 14, 15, 15, 15, 16, 16, 16, 17, 17, 17, 18, 18, 18, 18, 19, 19, 19, 20, 20, 20, 20, 21, 21, 21, 21, 22, 22, 22, 22, 23, 23, 23, 23, 24, 24, 24, 24, 25, 25, 25, 25, 26, 26, 26, 26, 27

Offset: 1

Author

Hugo Pfoertner, Nov 16 2018

Keywords

• nonn
• easy

Comments

This is an approximation to the solution of the "Concrete Math Club" casino problem given in A079631.

References

• R. L. Graham, D. E. Knuth and O. Patashnik, Concrete Mathematics. 2nd Edition. Addison-Wesley, Reading, MA, 1994. Section 3.2, pp. 74-76.

Links

• Hugo Pfoertner, Table of n, a(n) for n = 1..10000

Crossrefs

Cf. A079631.

Programs

Mathematica

a[n_]:=Round[(3/2)*n^(2/3)]; Array[a, 50] (* Stefano Spezia, Nov 16 2018 *)

PARI

for(j=1,75,print1(round(1.5*j^(2/3)),", "))

Python

for n in range(1,50): print(round((3/2)*n**(2/3)), end=', ') # Stefano Spezia, Nov 16 2018