A050256 a(n) = floor(47*(n-3/2)^(3/2)).

16, 86, 185, 307, 448, 606, 778, 965, 1164, 1376, 1599, 1832, 2077, 2331, 2595, 2868, 3150, 3440, 3739, 4047, 4362, 4685, 5016, 5354, 5699, 6052, 6411, 6777, 7150, 7530, 7916, 8309, 8708, 9113, 9524, 9941, 10364, 10793, 11227, 11667, 12113, 12565, 13022, 13484

Offset: 2

Author

Eric W. Weisstein

Keywords

• nonn

Comments

Mentioned in the Diaconis-Mosteller article.

Links

• Iain Fox, Table of n, a(n) for n = 2..10000
• P. Diaconis and F. Mosteller, Methods of studying coincidences, J. Amer. Statist. Assoc. 84 (1989), pp. 853-861.
• Eric Weisstein's World of Mathematics, Birthday Problem

Crossrefs

Cf. A014088, A050255.

Programs

Maple

a:= n-> floor(47*(n-3/2)^(3/2)):
seq(a(n), n=2..55);  # Alois P. Heinz, May 17 2023

PARI

vector(50,n,n++;floor(47*(n-1.5)^(3/2))) \\ Derek Orr, Sep 05 2015

PARI

a(n) = floor(47*(n-1.5)^1.5) \\ Charles R Greathouse IV, Sep 05 2015

Extensions

First term removed by Derek Orr, Sep 05 2015

Offset corrected by Iain Fox, Nov 16 2017

Entry revised by N. J. A. Sloane, Jun 21 2023