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A144188
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a(n)/n! is the probability of guessing "up/down" correctly through a deck of n cards marked 1, 2, ..., n, if one always makes the most probable guess.
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1
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1, 1, 2, 5, 16, 62, 286, 1519, 9184, 62000, 463964, 3800684, 33911424, 326678010, 3385261194, 37492199549, 442541571936, 5539379635136, 73368335117584, 1024178393797764, 15041551052243448, 231665680071392900
(list; graph; refs; listen; history; internal format)
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OFFSET
| 0,3
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LINKS
| Jan Kristian Haugland, Table of n, a(n) for n = 1..30
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FORMULA
| Let f(0, 0) = 1 and f(n, k) = max{f(n - 1, 0) + ... + f(n - 1, k - 1), f(n - 1, k) + ... + f(n - 1, n - 1)} for 0 <= k <= n. Then a(n) = f(n, 0).
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CROSSREFS
| Sequence in context: A005387 A173469 A138549 * A157314 A159603 A058117
Adjacent sequences: A144185 A144186 A144187 * A144189 A144190 A144191
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KEYWORD
| nonn
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AUTHOR
| Jan Kristian Haugland (jankrihau(AT)hotmail.com), Sep 13 2008
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