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A003031 Denominators of expansion of Fresnel integral S(z). 1
6, 336, 42240, 9676800, 3530096640, 1880240947200, 1377317368627200, 1328346084409344000, 1631723190138961920000, 2487305589722682753024000, 4607255276963246207139840000 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,1

LINKS

Vincenzo Librandi, Table of n, a(n) for n = 0..200

FORMULA

a(n) = (4*n+3) * 2^(2*n+1) * (2*n+1)!.

MATHEMATICA

Table[(4n+3)2^(2n+1)(2n+1)!, {n, 0, 10}] (* or *) Denominator[Take[ CoefficientList[ Series[FresnelS[x], {x, 0, 60}], x], {4, -1, 4}]] (* Harvey P. Dale, Oct 21 2011 *)

PROG

(MAGMA) [(4*n+3) * 2^(2*n+1) * Factorial(2*n+1): n in [0..20]]; // Vincenzo Librandi, Oct 23 2011

(PARI) vector(15, n, n--; (4*n+3)*2^(2*n+1)*(2*n+1)!) \\ G. C. Greubel, Nov 23 2018

(Sage) [(4*n+3)*2^(2*n+1)*factorial(2*n+1) for n in range(15)] # G. C. Greubel, Nov 23 2018

CROSSREFS

Sequence in context: A001509 A295925 A210769 * A144849 A212490 A047941

Adjacent sequences:  A003028 A003029 A003030 * A003032 A003033 A003034

KEYWORD

nonn

AUTHOR

N. J. A. Sloane

STATUS

approved

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Last modified June 1 02:09 EDT 2020. Contains 334758 sequences. (Running on oeis4.)