A003031 Denominators of expansion of Fresnel integral S(z).

6, 336, 42240, 9676800, 3530096640, 1880240947200, 1377317368627200, 1328346084409344000, 1631723190138961920000, 2487305589722682753024000, 4607255276963246207139840000

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