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A099290
Decimal expansion of the Fresnel cosine integral function at 1.
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
OFFSET
0,1
LINKS
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
0.77989340037682282947420641365269013663062570813632...
MATHEMATICA
RealDigits[ FresnelC[1], 10, 105][[1]]
PROG
(PARI) intnum(x=0, 1, cos(Pi*x^2/2)) \\ Michel Marcus, Feb 06 2022
CROSSREFS
Cf. A099289.
Sequence in context: A244649 A267040 A225961 * A224895 A103569 A306530
KEYWORD
cons,nonn
AUTHOR
Robert G. Wilson v, Oct 11 2004
STATUS
approved