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A167029 Difference between the number of positive and negative terms in the expansion of a skew symmetric matrix of order n. 0
1, 0, 2, 0, 8, 0, 18, 0, 578, 0, -15460, 0, 1012512, 0, -81237604, 0, 8572174172, 0, -1139408178984, 0, 186543348044576, 0 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,3

COMMENTS

For even n, a(n)=0

LINKS

Table of n, a(n) for n=1..22.

FORMULA

E.g.f. = sqrt(cosh(x))*exp(x^2/4)

Asymptotics (for even n): a(n)=exp(Pi^2/16)*(2^(n-2))*(n!)*(Pi^(-n))*n^(3/4)*(1+O(1/n))

CROSSREFS

A167028

Sequence in context: A073830 A213272 A053205 * A094030 A199573 A103424

Adjacent sequences:  A167026 A167027 A167028 * A167030 A167031 A167032

KEYWORD

easy,nice,sign

AUTHOR

Pietro Majer, Oct 27 2009

STATUS

approved

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Last modified April 18 03:34 EDT 2014. Contains 240688 sequences.