A143163 Denominators of probabilities in the Newton-Pepys problem.

1, 46656, 2176782336, 25389989167104, 4738381338321616896, 24563768857859261988864, 1289303099811316943271493632, 5012810452066400275439567241216, 7484085902451519080029070374597558272

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

Denominator[Table[5^(5 n) (6 n)! Hypergeometric2F1Regularized[1, -5 n, n + 1, -1/5]/(6^(6 n) (5 n)!), {n, 0, 20}]]

Crossrefs

Cf. A143162.

Sequence in context: A017466 A017598 A223362 * A132642 A355307 A265285

Adjacent sequences: A143160 A143161 A143162 * A143164 A143165 A143166

Keyword

nonn,frac

Author

Eric W. Weisstein, Jul 27 2008

Status

approved