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A030812
a(n) = floor(exp(17/23) * n!).
0
2, 4, 12, 50, 251, 1507, 10554, 84434, 759911, 7599119, 83590319, 1003083838, 13040089904, 182561258657, 2738418879857, 43814702077718, 744849935321211, 13407298835781812, 254738677879854446, 5094773557597088927
OFFSET
1,1
EXAMPLE
17/23 = 0.739130434782608695652173913...
e^(17/23) = 2.094113754057612941777836..., so a(1) = 2.
e^(17/23) * 2! = 4.18822750811522588355567..., so a(2) = 4.
e^(17/23) * 3! = 12.564682524345677650667..., so a(3) = 12 (note that we're using floor, not round, otherwise this would be 13).
MATHEMATICA
Floor[E^(17/23) Range[20]!] (* Alonso del Arte, Mar 18 2020 *)
CROSSREFS
Sequence in context: A030940 A030910 A030864 * A030974 A343310 A030843
KEYWORD
nonn,easy
AUTHOR
STATUS
approved