|
|
A144188
|
|
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.
|
|
2
|
|
|
1, 1, 2, 5, 16, 62, 286, 1519, 9184, 62000, 463964, 3800684, 33911424, 326678010, 3385261194, 37492199549, 442541571936, 5539379635136, 73368335117584, 1024178393797764, 15041551052243448, 231665680071392900, 3736363255881557460, 62935656581952683960
(list;
graph;
refs;
listen;
history;
text;
internal format)
|
|
|
OFFSET
|
0,3
|
|
LINKS
|
|
|
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).
|
|
CROSSREFS
|
|
|
KEYWORD
|
nonn
|
|
AUTHOR
|
|
|
STATUS
|
approved
|
|
|
|