A125059 Number of digits in n!!.
1, 1, 1, 1, 1, 2, 2, 3, 3, 3, 4, 5, 5, 6, 6, 7, 8, 8, 9, 9, 10, 11, 11, 12, 13, 13, 14, 15, 16, 16, 17, 18, 19, 19, 20, 21, 22, 22, 23, 24, 25, 26, 27, 27, 28, 29, 30, 31, 32, 32, 33, 34, 35, 36, 37, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57
Offset: 0
Examples
a(5) = 2 because 5!! = 5*3*1 = 15.
Programs
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Maple
a:= n-> length(doublefactorial(n)): seq(a(n), n=0..76); # Alois P. Heinz, Sep 28 2023
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Mathematica
IntegerLength[Range[80]!!] (* Harvey P. Dale, Mar 23 2018 *)
Extensions
a(0)=1 prepended by Georg Fischer, Sep 28 2023