A093962 Continued fraction expansion of binomial(Pi,e) (A093961).

1, 1, 9, 2, 1, 2, 2, 1, 3, 11, 5, 3, 9, 3, 2, 2, 2, 1, 2, 4, 2, 1, 4, 3, 1, 1, 6, 1, 2, 5, 25, 1, 1, 2, 18, 1, 9, 2, 2, 4, 10, 1, 2, 2, 1, 5, 1, 20, 50, 2, 1, 1, 3, 2, 1, 1, 87, 1, 5, 1, 5, 47, 1, 1, 1, 1, 1, 2, 3, 1, 10, 3, 2, 1, 1, 1, 1, 9, 6, 1, 1, 2, 2, 1, 1, 1, 1, 1, 3, 9, 9, 2, 13, 1, 7, 1, 4, 1, 2, 12

Offset

0,3

Comments

The increasing partial quotients are 1, 9, 11, 25, 50, 87, 514, 610, 647, 676, 2710, 10647, ...

Links

Harry J. Smith, Table of n, a(n) for n = 0..4999

Example

1.903568065729906338900833721... = 1 + 1/(1 + 1/(9 + 1/(2 + 1/(1 + ...)))). - Harry J. Smith, Jun 17 2009

Mathematica

ContinuedFraction[ Binomial[Pi, E], 100]

Prog

(PARI) { allocatemem(932245000); default(realprecision, 5400); e=exp(1); x=contfrac(gamma(Pi+1)/(gamma(e+1)*gamma(Pi-e+1))); for (n=1, 5000, write("b093962.txt", n-1, " ", x[n])); } \\ Harry J. Smith, Jun 17 2009
(Sage) continued_fraction_list( gamma(pi+1)/(gamma(e+1)*gamma(pi -e +1)), nterms=110) # G. C. Greubel, Dec 29 2021

Crossrefs

Cf. A093961 (decimal expansion).

Sequence in context: A379587 A319533 A010160 * A350298 A230191 A198984

Adjacent sequences: A093959 A093960 A093961 * A093963 A093964 A093965

Keyword

cofr,nonn

Author

Robert G. Wilson v, Apr 20 2004

Extensions

Offset changed by Andrew Howroyd, Aug 07 2024

Status

approved