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A143163
Denominators of probabilities in the Newton-Pepys problem.
1
1, 46656, 2176782336, 25389989167104, 4738381338321616896, 24563768857859261988864, 1289303099811316943271493632, 5012810452066400275439567241216, 7484085902451519080029070374597558272
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
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
KEYWORD
nonn,frac
AUTHOR
Eric W. Weisstein, Jul 27 2008
STATUS
approved