login
The OEIS Foundation is supported by donations from users of the OEIS and by a grant from the Simons Foundation.

 

Logo


Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A094085 Denominator of (3*2^(n-1) - 1)*integral_{x=0 to 1/(4^n)}1-sqrt x dx. 2
3, 96, 768, 6144, 49152, 393216, 3145728, 25165824, 201326592, 1610612736, 12884901888, 103079215104, 824633720832, 6597069766656, 52776558133248, 422212465065984, 3377699720527872, 27021597764222976, 216172782113783808 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

LINKS

Table of n, a(n) for n=1..19.

FORMULA

a(n) = 12*8^(n-1) = 12*A001018 for n>1.

EXAMPLE

E.g., I(3)=11/768. The numerator is b(n) = 3*2^(n-1) - 1. E.g., b(3)=11.

MATHEMATICA

f[n_] := Denominator[(3*2^(n - 1) - 1)*Integrate[1 - Sqrt[x], {x, 0, 1/4^n}]]; Table[ f[n], {n, 19}] (* Robert G. Wilson v *)

CROSSREFS

Sequence in context: A322460 A249787 A264548 * A300424 A300686 A300609

Adjacent sequences:  A094082 A094083 A094084 * A094086 A094087 A094088

KEYWORD

nonn,easy

AUTHOR

Al Hakanson (hawkuu(AT)excite.com), Apr 30 2004

EXTENSIONS

Edited, corrected and extended by Robert G. Wilson v, May 08 2004

STATUS

approved

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

License Agreements, Terms of Use, Privacy Policy. .

Last modified August 6 15:43 EDT 2020. Contains 336253 sequences. (Running on oeis4.)