A387261
a(n) is the numerator of the winning probability of the starting player to reach n points first in the game "Risk or Safety", assuming optimal play.
Original entry on oeis.org
2, 4, 6, 2236, 1026, 275848876, 649346842, 61550866190068, 2737872156886, 5556238701119487884, 33857036312840796476194, 3393041394611453189295265268, 218370486707916654640780231642, 112630244896738642814653528498087299988, 14364898791782224577113184680141626682
Offset: 1
a(2) = 4: For n=2, the optimal strategy is never to stop, but always try to get two consecutive heads. The winning probability is 1/4*(1 + (3/4)^2 + (3/4)^4 + ...) = 4/7.
A387262 are the corresponding denominators.
A387262
a(n) is the denominator of the winning probability of the starting player to reach n points first in the game "Risk or Safety", assuming optimal play.
Original entry on oeis.org
3, 7, 11, 4165, 1925, 521145625, 1231278125, 117192622421875, 5225432428125, 10634368774326171875, 64913928515324560546875, 6519012951936493553466796875, 420117998909827688127861328125, 217038092253876925088545128021240234375, 27711032758513212360715995025634765625
Offset: 1
a(2) = 7: For n=2, the optimal strategy is never to stop, but always try to get two consecutive heads. The winning probability is 1/4*(1 + (3/4)^2 + (3/4)^4 + ...) = 4/7.
A387261 are the corresponding numerators.
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