A099283 Decimal expansion of the hyperbolic sine integral at 1.

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

Offset

1,3

Links

Table of n, a(n) for n=1..105.

Formula

From Amiram Eldar, Aug 21 2020: (Start)

Equals Integral_{x=0..1} sinh(x)/x dx.

Equals -Integral_{x=0..1} log(x)*cosh(x) dx.

Equals Sum_{k>=0} 1/((2*k+1)*(2*k+1)!). (End)

Example

1.05725087537572851457184235489587795902405393756980789961210352247...

Mathematica

RealDigits[ SinhIntegral[1], 10, 105][[1]]

Crossrefs

Sequence in context: A154479 A347341 A153110 * A368663 A019987 A072097

Adjacent sequences: A099280 A099281 A099282 * A099284 A099285 A099286

Keyword

cons,nonn

Author

Robert G. Wilson v, Oct 08 2004

Status

approved