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 A192081 Wronskian of sin(k*x) and cos(k*x), k=1,...,n. 0
 1, 1, 18, 86400, 548674560000, 14450101093977292800000, 3837346984091658732083085312000000000, 21256593329287301582222798129123366786826240000000000000, 4543629380532096097361509541360459283717770305881596724510720000000000000000000 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,3 COMMENTS a(n) is the Wronskian of functions {cos(x), sin(x), cos(2x), sin(2x), ..., cos(n*x), sin(n*x)}. LINKS Table of n, a(n) for n=0..8. MathOverflow, The Wronskian of sin(kx) and cos(kx) FORMULA a(n) = (1! * 3! * ... * (2n-1)!)^2/n!. EXAMPLE a(3) = (1*6*120)^2/6 = 86400. MAPLE a:= n-> mul((2*i-1)!, i=1..n)^2/n!: seq(a(n), n=0..8); # Alois P. Heinz, Aug 02 2023 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 EXTENSIONS a(0)=1 prepended by Alois P. Heinz, Aug 02 2023 STATUS approved

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Last modified September 9 18:08 EDT 2024. Contains 375765 sequences. (Running on oeis4.)