A143162 Numerators of probabilities in the Newton-Pepys problem.

1, 31031, 1346704211, 15166600495229, 2769520712100913771, 14140406602762826441989, 733773840666057086093759257, 2827389271155038104266471538091, 4190504590060194179938375947107323897

Offset

0,2

Links

Table of n, a(n) for n=0..8.

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

Adjacent sequences: A143159 A143160 A143161 * A143163 A143164 A143165

Keyword

nonn,frac

Author

Eric W. Weisstein, Jul 27 2008

Status

approved