The OEIS mourns the passing of Jim Simons and is grateful to the Simons Foundation for its support of research in many branches of science, including the OEIS.
login
The OEIS is supported by the many generous donors to the OEIS Foundation.

 

Logo
Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A317873 Number of digits in 2^(n!). 2
1, 1, 2, 8, 37, 217, 1518, 12138, 109238, 1092378, 12016155, 144193850, 1874520045, 26243280622, 393649209329, 6298387349264, 107072584937472, 1927306528874488, 36618824048615255, 732376480972305082, 15379906100418406713, 338357934209204947674 (list; graph; refs; listen; history; text; internal format)
OFFSET
1,3
COMMENTS
The old definition (which did not match the data) was "Number of digits in the numerators of partial sums for Liouville's constant, read as base-2 (binary) numbers (A145572)."
LINKS
FORMULA
a(n) = A034887(n!).
MAPLE
Digits := 900: # for n <= 300
a := n -> ceil(exp(lnGAMMA(n + 1))*log10(2)):
seq(a(n), n = 1..300); # Peter Luschny, Apr 18 2024
MATHEMATICA
Array[ Floor[#! Log10@2 + 1] &, 22]
CROSSREFS
Sequence in context: A047729 A020076 A342052 * A289316 A020130 A159051
KEYWORD
nonn,base
AUTHOR
EXTENSIONS
Better definition suggested by Martin Renner, Mar 24 2024
STATUS
approved

Lookup | Welcome | Wiki | Register | Music | Plot 2 | Demos | Index | Browse | More | WebCam
Contribute new seq. or comment | Format | Style Sheet | Transforms | Superseeker | Recents
The OEIS Community | Maintained by The OEIS Foundation Inc.

License Agreements, Terms of Use, Privacy Policy. .

Last modified June 18 10:39 EDT 2024. Contains 373479 sequences. (Running on oeis4.)