A129981 Sum of n!!, with n>=0.
1, 2, 4, 7, 15, 30, 78, 183, 567, 1512, 5352, 15747, 61827, 196962, 842082, 2869107, 13191027, 47650452, 233445012, 888174087, 4604065287, 18353375862, 100102982262, 416337125487, 2378327679087, 10284181259712, 61295935653312
Offset: 0
Examples
0!!=1 1!!=1 -> 1+1=2 2!!=2 -> 2+2=4 3!!=3 -> 4+3=7 4!!=8 -> 7+8=15 5!!=15 -> 15+15=30
Programs
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Maple
A129981 := proc(n) add(doublefactorial(m),m=0..n) ; end proc: # R. J. Mathar, Oct 11 2011
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Mathematica
s = 0; lst = {}; Do[s += n!!; AppendTo[lst, s], {n, 0, 26, 1}]; lst (* Zerinvary Lajos, Jul 10 2009 *)
Comments