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%I #7 Oct 11 2023 08:41:28
%S 1,46656,2176782336,25389989167104,4738381338321616896,
%T 24563768857859261988864,1289303099811316943271493632,
%U 5012810452066400275439567241216,7484085902451519080029070374597558272
%N Denominators of probabilities in the Newton-Pepys problem.
%H Eric Weisstein's World of Mathematics, <a href="http://mathworld.wolfram.com/Newton-PepysProblem.html">Newton-Pepys Problem</a>
%F (5^(5*n)*(6*n)!*Hypergeometric2F1Regularized[1, -5*n, 1 + n, -1/5])/(6^(6*n)*(5*n)!)
%e 1, 31031/46656, 1346704211/2176782336, 15166600495229/25389989167104, ...
%t Denominator[Table[5^(5 n) (6 n)! Hypergeometric2F1Regularized[1, -5 n, n + 1, -1/5]/(6^(6 n) (5 n)!), {n, 0, 20}]]
%Y Cf. A143162.
%K nonn,frac
%O 0,2
%A _Eric W. Weisstein_, Jul 27 2008
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