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A050256
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Diaconis-Mosteller approximation to the Birthday problem function.
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2
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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
(list;
graph;
refs;
listen;
history;
text;
internal format)
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OFFSET
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2,1
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LINKS
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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
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FORMULA
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a(n) = floor(47*(n-1.5)^(3/2)). - Derek Orr, Sep 05 2015
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PROG
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(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
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CROSSREFS
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Cf. A014088, A050255.
Sequence in context: A118675 A223962 A252834 * A223835 A224143 A225007
Adjacent sequences: A050253 A050254 A050255 * A050257 A050258 A050259
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KEYWORD
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nonn
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AUTHOR
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Eric W. Weisstein
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EXTENSIONS
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First term removed by Derek Orr, Sep 05 2015
Offset corrected by Iain Fox, Nov 16 2017
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STATUS
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approved
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