A058667 2^(n-2)*n*(n+2)!/3.

0, 1, 16, 240, 3840, 67200, 1290240, 27095040, 619315200, 15328051200, 408748032000, 11690193715200, 357082280755200, 11605174124544000, 399932154445824000, 14568957054812160000, 559447950904786944000

Offset

0,3

Comments

Right side of the binomial sum n-> sum( (-1)^i * (n - 2*i)^(n+2) * binomial(n, i), i=0..n/2)

References

A. P. Prudnikov, Yu. A. Brychkov and O.I. Marichev, "Integrals and Series", Volume 1: "Elementary Functions", Chapter 4: "Finite Sums", New York, Gordon and Breach Science Publishers, 1986-1992, Eq. (4.2.2.27)

Links

Table of n, a(n) for n=0..16.

Formula

a(n) = 2^(n-2)*n*(n+2)!/3

Crossrefs

Sequence in context: A170649 A170697 A170735 * A005619 A204793 A173605

Adjacent sequences: A058664 A058665 A058666 * A058668 A058669 A058670

Keyword

nonn

Author

Yong Kong (ykong(AT)curagen.com), Dec 28 2000

Status

approved