OFFSET
0,3
FORMULA
Conjecture: a(n) +a(n-1) -2*(2*n+1)*(n-1)*a(n-2)=0. - R. J. Mathar, May 26 2016
MAPLE
A003148 := proc(m::integer, n::integer) RETURN( doublefactorial(2*n+2*m+1)/(2*m+1)*simplify(hypergeom([ -n, m+1/2], [m+3/2], 2))) ; end proc:
for n from 0 to 20 do print(A077568(n)); od: # 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[1, n], {n, 0, 15}] (* Jean-François Alcover, Jul 31 2023, after R. J. Mathar *)
CROSSREFS
KEYWORD
sign
AUTHOR
R. J. Mathar, Jul 01 2003
EXTENSIONS
More terms from R. J. Mathar, Apr 25 2006
STATUS
approved