A030812 a(n) = floor(exp(17/23) * n!).

2, 4, 12, 50, 251, 1507, 10554, 84434, 759911, 7599119, 83590319, 1003083838, 13040089904, 182561258657, 2738418879857, 43814702077718, 744849935321211, 13407298835781812, 254738677879854446, 5094773557597088927

Offset

1,1

Links

Table of n, a(n) for n=1..20.

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

Adjacent sequences: A030809 A030810 A030811 * A030813 A030814 A030815

Keyword

nonn,easy

Author

Simon Plouffe

Status

approved