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A144540 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 12^A(k) == A(k) mod 10^k. 16
6, 1, 4, 2, 1, 0, 4, 5, 4, 1, 2, 4, 4, 1, 7, 1, 3, 9, 4, 8, 5, 8, 4, 8, 5, 3, 1, 9, 5, 3, 6, 9, 3, 2, 5, 7, 1, 9, 7, 7, 7, 8, 2, 3, 3, 9, 4, 2, 1, 0, 4, 8, 5, 7, 9, 6, 7, 9, 5, 6, 2, 5, 3, 5, 7, 6, 7, 5, 4, 1, 5, 0, 8, 2, 9, 0, 3, 6, 4, 1, 0, 7, 9, 6, 2, 8, 3, 8, 0, 3, 4, 4, 1, 4, 6, 4, 3, 9, 0, 4, 2, 3, 0, 5, 9 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,1

REFERENCES

M. RipĂ , 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

Robert G. Wilson v, Table of n, a(n) for n = 0..1024

J. Jimenez Urroz and J. Luis A. Yebra, On the equation a^x == x (mod b^n), J. Int. Seq. 12 (2009) #09.8.8.

EXAMPLE

614210454124417139485848531953693257197778233942104857967956253576754150829036...

MATHEMATICA

(* Import Mmca coding for "SuperPowerMod" and "LogStar" from text file in A133612 and then *) $RecursionLimit = 2^14; f[n_] := SuperPowerMod[12, n + 1, 10^n]; Reverse@ IntegerDigits@ f@ 105 (* Robert G. Wilson v, Mar 06 2014 *)

CROSSREFS

Cf. A133612, A133613, A133614, A133615, A133616, A133617, A133618, A133619, A144539, A144541, A144542, A144543, A144544.

Sequence in context: A195303 A160199 A178646 * A292107 A212037 A118740

Adjacent sequences:  A144537 A144538 A144539 * A144541 A144542 A144543

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

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Last modified May 24 17:39 EDT 2019. Contains 323534 sequences. (Running on oeis4.)