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A180005 Numbers n with the property that the relation 1-d!/((d-i)!d^i)>1/2 holds for integers d>2 between i-1 and n+i-1. The expression is the "birthday problem" probability out of d equally possible birthdays, while given d, i ranges between the smallest integer for which the relation holds and d, and n is the number of values of d for which the relation holds given i. 2
0, 0, 3, 6, 12, 18, 26, 35, 46, 59, 72, 88, 104, 122, 142, 163, 185, 209, 234, 261, 289, 319, 350, 383, 417, 452, 489, 527, 567, 608, 651, 695, 740, 787, 835, 885, 937, 989, 1043, 1099, 1156, 1215, 1274, 1336, 1399, 1463, 1529, 1596, 1664, 1734, 1806, 1879 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,3

LINKS

Table of n, a(n) for n=1..52.

P. Diaconis and F. Mosteller, Methods of studying coincidences, J. Amer. Statist. Assoc. 84 (1989), pp. 853-861.

CROSSREFS

Sequence in context: A242297 A024513 A181026 * A116958 A242477 A006156

Adjacent sequences:  A180002 A180003 A180004 * A180006 A180007 A180008

KEYWORD

nonn

AUTHOR

Mario O. Bourgoin (mob(AT)brandeis.edu), Aug 05 2010, Aug 06 2010

STATUS

approved

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Last modified February 29 03:04 EST 2020. Contains 332353 sequences. (Running on oeis4.)