A247718 - OEIS

A247718

Decimal expansion of Integral_{0..Pi/2} exp(t)*cos(t) dt.

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

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OFFSET

1,2

LINKS

G. C. Greubel, Table of n, a(n) for n = 1..10000

D. H. Bailey, J. M. Borwein, Highly Parallel, High-Precision Numerical Integration p. 6. (2005) Lawrence Berkeley National Laboratory.

FORMULA

Equals (A042972 - 1)/2 = A097666 -1/2, where A042972 is exp(Pi/2).

EXAMPLE

1.90523869048267582773651783335191656319508543733226747...

MATHEMATICA

RealDigits[(Exp[Pi/2] - 1)/2, 10, 105] // First