A030815 a(n) = floor(exp(14/23) * n!).

1, 1, 3, 11, 44, 220, 1323, 9263, 74109, 666985, 6669851, 73368371, 880420460, 11445465992, 160236523888, 2403547858330, 38456765733280, 653765017465772, 11767770314383911, 223587635973294318, 4471752719465886368, 93906807108783613747, 2065949756393239502442

Offset

0,3

Links

Table of n, a(n) for n=0..22.

Example

14/23 = 0.60869565217391304347826...
e^(14/23) = 1.838032400991473194432...
floor(e^(14/23) * 1!) = 1, so a(1) = 1.
e^(14/23) * 2! = 3.67606480198294638886471465..., so a(2) = 3.
e^(14/23) * 3! = 11.028194405948839166594143961..., so a(3) = 11.
e^(14/23) * 4! = 44.112777623795356666376575845..., so a(4) = 44.

Mathematica

Floor[E^(14/23) Range[20]!] (* Alonso del Arte, Mar 08 2020 *)

Crossrefs

Cf. A021027 (1/23).

Sequence in context: A217886 A378255 A234627 * A030880 A030926 A030844

Adjacent sequences: A030812 A030813 A030814 * A030816 A030817 A030818

Keyword

nonn,easy

Author

Simon Plouffe

Status

approved