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!)
A144544 Unique sequence of digits a(0), a(1), a(2), .. such that for all k >= 2, the number A(k) := Sum_{n = 0..k-1 } a(n)*10^n satisfies 16^A(k) == A(k) mod 10^k. 16
6, 1, 6, 5, 1, 4, 0, 9, 2, 0, 5, 9, 4, 0, 5, 7, 0, 1, 8, 7, 6, 6, 3, 2, 8, 6, 2, 2, 5, 8, 4, 6, 2, 0, 8, 8, 3, 8, 0, 0, 5, 6, 9, 9, 8, 2, 5, 2, 1, 1, 7, 8, 5, 3, 3, 6, 7, 3, 2, 1, 7, 8, 3, 7, 0, 0, 2, 6, 6, 6, 2, 0, 7, 0, 5, 9, 0, 6, 1, 7, 5, 0, 9, 0, 7, 1, 8, 5, 0, 6, 1, 3, 2, 2, 0, 1, 1, 1, 0, 1, 7, 7, 0, 2, 4 (list; graph; refs; listen; history; text; internal format)
OFFSET
0,1
REFERENCES
M. Ripà, La strana coda della serie n^n^...^n, Trento, UNI Service, Nov 2011, p. 69-78. ISBN 978-88-6178-789-6.
Ilan Vardi, "Computational Recreations in Mathematica," Addison-Wesley Publishing Co., Redwood City, CA, 1991, pages 226-229.
LINKS
EXAMPLE
616514092059405701876632862258462088380056998252117853367321783700266620705906...
MATHEMATICA
(* Import Mmca coding for "SuperPowerMod" and "LogStar" from text file in A133612 and then *) $RecursionLimit = 2^14; f[n_] := SuperPowerMod[16, n + 1, 10^n]; Reverse@ IntegerDigits@ f@ 105 (* Robert G. Wilson v, Mar 06 2014 *)
CROSSREFS
Sequence in context: A221210 A010492 A276515 * A070514 A169886 A292862
KEYWORD
nonn,base
AUTHOR
N. J. A. Sloane, Dec 20 2008
EXTENSIONS
a(68) onward from Robert G. Wilson v, Mar 06 2014
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 May 12 23:13 EDT 2024. Contains 372497 sequences. (Running on oeis4.)