A222392 Decimal expansion of sum(1/Gamma(n/2), n>=1).

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

Offset

1,1

References

Jerome Spanier and Keith B. Oldham, "Atlas of Functions", Hemisphere Publishing Corp., 1987, chapter 43, equation 43:5:12 at page 415.

Links

Vincenzo Librandi, Table of n, a(n) for n = 1..5000

Formula

Equals (1+erf(1))*e+1/sqrt(Pi), where erf is the error function (see A099286).

Example

5.57316966431003975325790404977558240053838531356466534303248120641829030...

Mathematica

RealDigits[(1 + Erf[1]) E + 1/Sqrt[Pi], 10, 90][[1]]

Crossrefs

Cf. A222391.

Cf. A001113, sum(1/Gamma(n), n>=1).

Sequence in context: A274030 A061382 A113272 * A049471 A049789 A234473

Adjacent sequences: A222389 A222390 A222391 * A222393 A222394 A222395

Keyword

nonn,cons

Author

Bruno Berselli, Mar 19 2013

Status

approved