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!)
A275002 a(n) = 2*n^(2*n^2 + 2). 6
0, 2, 2048, 6973568802, 590295810358705651712, 4440892098500626161694526672363281250, 7659889842507589786155370254176860349292085605349868961792, 6468953019249515982689295538200433621714406397809250801867790662783382919273856120002 (list; graph; refs; listen; history; text; internal format)
OFFSET
0,2
COMMENTS
Next term is 128 * 8^128 = 2^391, which has 118 digits.
This function is a particular instance of the fast-iteration hierarchy function F[k]_n(x). This sequence is also a(n) = F[n]_3(2). See A275000 for details and definitions and formulae.
a(n) is an even function.
LINKS
FORMULA
a(n) = f_3(2), with f_0(x) = x+n, f_k+1(x) = (f_k)^x(x).
a(n) = a(-n) because 2*h^(2*h^2 + 2) = 2*(-h)^(2*(-h)^2 + 2).
MATHEMATICA
Table[2 n^(2 n^2 + 2), {n, 0, 7}] (* Michael De Vlieger, Nov 30 2016 *)
CROSSREFS
Sequence in context: A024034 A101722 A004908 * A004813 A342294 A089981
KEYWORD
nonn
AUTHOR
Natan Arie Consigli, Nov 09 2016
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 17 06:41 EDT 2024. Contains 373432 sequences. (Running on oeis4.)