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A192081 Wronskian of sin(kx) and cos(kx), k=1,...,n. 0
1, 18, 86400, 548674560000, 14450101093977292800000, 3837346984091658732083085312000000000, 21256593329287301582222798129123366786826240000000000000 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,2

COMMENTS

a(n) is the Wronskian of functions {cos(x), sin(x), cos(2x), sin(2x), ..., cos(nx), sin(nx)}

LINKS

Table of n, a(n) for n=1..7.

MathOverflow, The Wronskian of sin(kx) and cos(kx)

FORMULA

a(n)=(1!3!...(2n-1)!)^2/n!

EXAMPLE

n=3, a(3)=(1*6*120)^2/6=86400

MATHEMATICA

s = 1; Join[{s}, Table[s=s*((2*n-1)!)^2/n, {n, 2, 7}]] (* T. D. Noe, Oct 11 2011 *)

CROSSREFS

Sequence in context: A146548 A051591 A146203 * A290177 A259364 A013762

Adjacent sequences:  A192078 A192079 A192080 * A192082 A192083 A192084

KEYWORD

nonn

AUTHOR

Mark Sapir, Oct 11 2011

STATUS

approved

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Last modified October 2 00:05 EDT 2022. Contains 357173 sequences. (Running on oeis4.)