login
This site is supported by donations to The OEIS Foundation.

 

Logo


Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A023052 Powerful numbers (3): numbers n that are the sum of some fixed power of their digits. 27
0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 153, 370, 371, 407, 1634, 4150, 4151, 8208, 9474, 54748, 92727, 93084, 194979, 548834, 1741725, 4210818, 9800817, 9926315, 14459929, 24678050, 24678051, 88593477, 146511208, 472335975, 534494836, 912985153 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,3

COMMENTS

Let n = d_1 d_2 ... d_k in base 10; then n = Sum_{i=1..k} d_i^s for some s.

Superset of A005188, A046197 (s=3), A052455 (s=4), A052464 (s=5), A124068 (s=6,7), A124069 (s=8). [From R. J. Mathar, Jun 15 2009, Jun 22 2009]

REFERENCES

J. Randle, Powerful numbers, Note 3208, Math. Gaz. 52 (1968), 383.

LINKS

Joseph Myers, Table of n, a(n) for n=1..255

Index entries for sequences related to powerful numbers

Hans Havermann, Extended table of values for A023052 and A046074

Eric Weisstein's World of Mathematics, Narcissistic Number.

EXAMPLE

153 = 1^3 + 5^3 + 3^3, 4210818 = 4^7 + 2^7 + 1^7 + 0^7 + 8^7 + 1^7 + 8^7.

CROSSREFS

Cf. A001694, A007532, A005934, A003321, A014576, A046074, A046761, A053540, A161752.

Similar to but different from A005188.

In other bases: A162216 (base 3), A162219 (base 4), A162222 (base 5), A162225 (base 6), A162228 (base 7), A162231 (base 8), A162234 (base 9).

Sequence in context: A001104 A151544 A032561 * A005188 A032569 A039723

Adjacent sequences:  A023049 A023050 A023051 * A023053 A023054 A023055

KEYWORD

nonn,base,nice

AUTHOR

David W. Wilson

EXTENSIONS

Computed to 10^50 by G. N. Gusev (GGN(AT)rm.yaroslavl.ru)

Computed to 10^74 by Xiaoqing Tang

A-number typo corrected by R. J. Mathar, Jun 22 2009

Computed to 10^105 by Joseph Myers

Cross-references edited by Joseph Myers, Jun 28 2009

STATUS

approved

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

Content is available under The OEIS End-User License Agreement .

Last modified October 25 17:33 EDT 2014. Contains 248557 sequences.