OFFSET
0,2
COMMENTS
Hankel transform of A098332. The Hankel transform of e.g.f. Bessel_I(0,2*sqrt(-2)x) and its k-th binomial transforms, are given by a(n). In general, the Hankel transform of e.g.f. Bessel_I(0,2*sqrt(m)x) and its binomial transforms is 2^n*m^C(n+1,2).
Unsigned version is A036442. - Philippe Deléham, Dec 11 2008
LINKS
G. C. Greubel, Table of n, a(n) for n = 0..79
FORMULA
a(n) = (cos(Pi*n/2) - sin(Pi*n/2))*4^n*2^C(n,2).
a(n) = 2^n*(-2)^C(n+1,2).
MATHEMATICA
Table[2^n*(-2)^Binomial[n+1, 2], {n, 0, 25}] (* G. C. Greubel, May 01 2018 *)
PROG
(PARI) for(n=0, 25, print1(2^n*(-2)^binomial(n+1, 2), ", ")) \\ G. C. Greubel, May 01 2018
(Magma) [2^n*(-2)^Binomial(n+1, 2): n in [0..25]]; // G. C. Greubel, May 01 2018
CROSSREFS
KEYWORD
easy,sign
AUTHOR
Paul Barry, Feb 08 2007
STATUS
approved