A210573 E.g.f.: (1-x^2)^(-3/2)*exp(-x^2+x/(1-x)).

1, 1, 4, 16, 112, 736, 6736, 62224, 709696, 8345152, 113821696, 1616855296, 25666630144, 425795339776, 7709938772992, 145932375110656, 2967668449939456, 63007297970212864, 1421410453435334656, 33414017254605586432, 827901013304217174016, 21329003914034382831616, 575635583592563020201984

Offset

0,3

References

Szekeres, G. The average value of skew Hadamard matrices. Proceedings of the First Australian Conference on Combinatorial Mathematics (Univ. Newcastle, Newcastle, 1972), pp. 55--59. Univ. of Newcastle Res. Associates, Newcastle, 1972. MR0349708 (50 #2201)

Links

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

Formula

a(n) ~ n! * 1/4*exp(2*sqrt(n)-3/2)/sqrt(2*Pi)* (1 + 181/(48*sqrt(n))). - Vaclav Kotesovec, Feb 12 2013

Mathematica

CoefficientList[Series[(1-x^2)^(-3/2)*E^(-x^2+x/(1-x)), {x, 0, 20}], x]* Range[0, 20]! (* Vaclav Kotesovec, Feb 12 2013 *)

Crossrefs

Sequence in context: A212313 A332752 A356130 * A337040 A339200 A087335

Adjacent sequences: A210570 A210571 A210572 * A210574 A210575 A210576

Keyword

nonn

Author

N. J. A. Sloane, Mar 22 2012

Status

approved