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!)
A127695 Floor( 2*(2*n+1)^n*sinh(1/2) ) - (2*n+2)^n + (2*n)^n. 0
1, 1, 6, 61, 933, 19013, 486903, 15046084, 545075629, 22661379274, 1063692556445, 55646541997466, 3210791930531340, 202576381691155974, 13874616146693093852, 1025250869305088941530, 81303554487412360191076, 6887348857934410851161581, 620720182437520911247158798 (list; graph; refs; listen; history; text; internal format)
OFFSET
0,3
COMMENTS
Theorem: 2*(2*n+1)^n*sinh(1/2) > (2*n+2)^n - (2*n)^n for n >= 1.
REFERENCES
D. S. Mitrinovic, Analytic Inequalities, Springer-Verlag, 1970; p. 192, 3.1.13.
LINKS
MATHEMATICA
Join[{1}, Table[Floor[2(2n+1)^n Sinh[1/2]]-(2n+2)^n+(2n)^n, {n, 20}]] (* Harvey P. Dale, Jun 20 2011 *)
CROSSREFS
Sequence in context: A271841 A361526 A056546 * A144343 A022517 A275221
KEYWORD
nonn
AUTHOR
N. J. A. Sloane, Apr 03 2007
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 March 28 17:42 EDT 2024. Contains 371254 sequences. (Running on oeis4.)