A099290 - OEIS

A099290

Decimal expansion of the Fresnel cosine integral function at 1.

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

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OFFSET

0,1

LINKS

Table of n, a(n) for n=0..104.

Eric Weisstein's World of Mathematics, Fresnel Integrals.

Wikipedia, Fresnel integral.

FORMULA

From Amiram Eldar, Feb 06 2022: (Start)

Equals Integral_{x=0..1} cos(Pi*x^2/2) dx.

Equals Sum_{k>=0} (-1)^k * (Pi/2)^(2*k)/((2*k)!*(4*k + 1)). (End)

EXAMPLE