A093961 Decimal expansion of binomial(Pi, e).

1, 9, 0, 3, 5, 6, 8, 0, 6, 5, 7, 2, 9, 9, 0, 6, 3, 3, 8, 9, 0, 0, 8, 3, 3, 7, 2, 1, 4, 8, 1, 7, 9, 3, 5, 3, 4, 1, 6, 4, 0, 5, 8, 5, 8, 1, 5, 0, 5, 8, 0, 5, 5, 7, 6, 3, 0, 3, 4, 4, 7, 6, 8, 8, 3, 3, 6, 6, 8, 4, 9, 2, 3, 9, 9, 3, 2, 5, 1, 8, 6, 7, 9, 9, 7, 7, 4, 6, 2, 1, 9, 6, 7, 0, 9, 3, 4, 2, 4, 5, 4, 8, 4, 5, 0

Offset

1,2

Links

Harry J. Smith, Table of n, a(n) for n = 1..5000

Formula

Equals Pi!/(e! * (Pi-e)!).

Example

1.903568065729906338900833721481793534164058581505805576303447688336684... - Harry J. Smith, Jun 17 2009

Mathematica

RealDigits[ Binomial[Pi, E], 10, 111][[1]]

Prog

(PARI) { allocatemem(932245000); default(realprecision, 5080); e=exp(1); x=gamma(Pi+1)/(gamma(e+1)*gamma(Pi-e+1)); for (n=1, 5000, d=floor(x); x=(x-d)*10; write("b093961.txt", n, " ", d)); } \\ Harry J. Smith, Jun 17 2009
(Sage) numerical_approx( gamma(pi+1)/(gamma(e+1)*gamma(pi -e +1)), digits=120) # G. C. Greubel, Dec 29 2021

Crossrefs

The continued fraction is A093962.

Sequence in context: A260932 A062523 A367961 * A154903 A216251 A011110

Adjacent sequences: A093958 A093959 A093960 * A093962 A093963 A093964

Keyword

cons,nonn

Author

Robert G. Wilson v, Apr 20 2004

Status

approved