A186904 Decimal expansion of the integral from -1 to 1 of hyperfactorial(x).

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

Offset

1,1

References

Mohammad K. Azarian, On the Hyperfactorial Function, Hypertriangular Function, and the Discriminants of Certain Polynomials, International Journal of Pure and Applied Mathematics, Vol. 36, No. 2, 2007, pp. 251-257. Mathematical Reviews, MR2312537. Zentralblatt MATH, Zbl 1133.11012.

Links

Table of n, a(n) for n=1..155.

Eric Weisstein's World of Mathematics, Hyperfactorial.

Example

= 2.1032873234796202388158906457638656421735113890581725606253520351267757673...

Mathematica

NIntegrate[ Hyperfactorial[x], {x, -1, 1}, AccuracyGoal -> 2^7, MaxPoints -> 2^11, MaxRecursion -> 2^8, PrecisionGoal -> 2^7, WorkingPrecision -> 2^7]; First@ RealDigits@ %

Crossrefs

Cf. A186905.

Sequence in context: A103432 A334374 A103448 * A216216 A078803 A368227

Adjacent sequences: A186901 A186902 A186903 * A186905 A186906 A186907

Keyword

cons,nonn

Author

Robert G. Wilson v, Feb 28 2011

Status

approved