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A143162
Numerators of probabilities in the Newton-Pepys problem.
1
1, 31031, 1346704211, 15166600495229, 2769520712100913771, 14140406602762826441989, 733773840666057086093759257, 2827389271155038104266471538091, 4190504590060194179938375947107323897
OFFSET
0,2
LINKS
Eric Weisstein's World of Mathematics, Newton-Pepys Problem
FORMULA
(5^(5*n)*(6*n)!*Hypergeometric2F1Regularized[1, -5*n, 1 + n, -1/5])/(6^(6*n)*(5*n)!)
EXAMPLE
1, 31031/46656, 1346704211/2176782336, 15166600495229/25389989167104, ...
MATHEMATICA
Numerator[Table[5^(5 n) (6 n)! Hypergeometric2F1Regularized[1, -5 n, n + 1, -1/5]/(6^(6 n) (5 n)!), {n, 0, 20}]]
CROSSREFS
Cf. A143163.
Sequence in context: A102328 A157111 A236976 * A256747 A090059 A234888
KEYWORD
nonn,frac
AUTHOR
Eric W. Weisstein, Jul 27 2008
STATUS
approved