A030808 a(n) = floor(exp(21/23) * n!).

2, 4, 14, 59, 299, 1794, 12559, 100473, 904258, 9042588, 99468475, 1193621707, 15517082198, 217239150785, 3258587261787, 52137396188602, 886335735206235, 15954043233712243, 303126821440532626, 6062536428810652521

Offset

1,1

Links

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

Example

21/23 = 0.9130434782608695652173913...
e^(21/23) = 2.491895032531242081578876616... so a(1) = 2.
e^(21/23) * 2! = 4.98379006506248416315775323... so a(2) = 4.
e^(21/23) * 3! = 14.95137019518745248947325969685... so a(3) = 14.

Mathematica

Floor[E^(21/23) Range[20]!] (* Alonso del Arte, Mar 21 2020 *)

Crossrefs

Sequence in context: A030948 A030841 A030938 * A047009 A027740 A132880

Adjacent sequences: A030805 A030806 A030807 * A030809 A030810 A030811

Keyword

nonn,easy

Author

Simon Plouffe

Status

approved