OFFSET
0,1
FORMULA
D-finite with recurrence a(n) + 3*a(n-1) - 2*(2*n+3)*(n-1)*a(n-2) = 0. - R. J. Mathar, Mar 12 2013
MAPLE
A003148 := proc(m::integer, n::integer) doublefactorial(2*n+2*m+1)/(2*m+1)*simplify(hypergeom([ -n, m+1/2], [m+3/2], 2)) ; end proc:
seq(A084543(n), n=0..40) : # R. J. Mathar, Apr 25 2006
MATHEMATICA
a[m_, n_] := (2n + 2m + 1)!!/(2m + 1)*Hypergeometric2F1[-n, m + 1/2, m + 3/2, 2];
Table[a[2, n], {n, 0, 20}] (* Jean-François Alcover, Jul 31 2023, after R. J. Mathar *)
CROSSREFS
KEYWORD
sign,easy
AUTHOR
R. J. Mathar, Jul 01 2003
EXTENSIONS
More terms from R. J. Mathar, Apr 25 2006
STATUS
approved