OFFSET
0,2
LINKS
FORMULA
Conjecture: a(n) +a(n-1) +(2*n-5)*a(n-2) +(2*n-7)*a(n-3) +(n-2)*(n-3)*a(n-4) +(n-3)*(n-4)*a(n-5)=0. - R. J. Mathar, Feb 25 2015
MAPLE
A025165 := proc(n)
HermiteH(n, 1)/2^(floor(n/2)) ;
simplify(%) ;
end proc: # R. J. Mathar, Feb 05 2013
MATHEMATICA
Table[ HermiteH[ n, 1 ]/2^Floor[ n/2 ], {n, 0, 24} ]
PROG
(PARI) for(n=0, 30, print1(polhermite(n, 1)/2^(floor(n/2)), ", ")) \\ G. C. Greubel, Jul 10 2018
(Magma) [((&+[(-1)^k*Factorial(n)*(2)^(n-2*k)/( Factorial(k) *Factorial(n-2*k)): k in [0..Floor(n/2)]]))/2^(Floor(n/2)): n in [0..30]]; // G. C. Greubel, Jul 10 2018
CROSSREFS
KEYWORD
sign
AUTHOR
STATUS
approved