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

2,1

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

Maple

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

Prog

(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

Crossrefs

Cf. A014088, A050255.

Sequence in context: A118675 A223962 A252834 * A223835 A224143 A225007

Adjacent sequences: A050253 A050254 A050255 * A050257 A050258 A050259

Keyword

nonn

Author

Eric W. Weisstein

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

Status

approved