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

 

Logo


Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A046459 Dudeney numbers: integers equal to the sum of the digits of their cubes. 12
0, 1, 8, 17, 18, 26, 27 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,3

COMMENTS

This sequence was first found by the French mathematician Claude (Séraphin) Moret-Blanc in 1879. See Le Lionnais page 27 for the last term of this sequence: 27. [Bernard Schott, Dec 07 2012]

The name "Dudeney numbers" appears in the October 2018 issue of Mathematics Teacher (see reference). - N. J. A. Sloane, Oct 10 2018

REFERENCES

H. E. Dudeney, 536 Puzzles & Curious Problems, reprinted by Souvenir Press, London, 1968, p. 36, #120.

Italo Ghersi, Matematica dilettevole e curiosa, p. 115, Hoepli, Milano, 1967 [From Vincenzo Librandi, Jan 02 2009]

F. Le Lionnais, Les nombres remarquables, Hermann, 1983.

Mathematics Teacher, Volume 112, Number 2, October 2018, pages 120 and 122.

J. Roberts, Lure of the Integers, The Mathematical Association of America, 1992, p. 172.

LINKS

Table of n, a(n) for n=1..7.

Bernard Schott and Norbert Verdier, QDL 19: Quels beaux cubes ! (French mathematical forum les-mathematiques.net)

Eric Weisstein's World of Mathematics, Cubic Number.

EXAMPLE

a(3) = 8 because 8^3 = 512 and 5 + 1 + 2 = 8.

a(7) = 27 because 27^3 = 19683 and 1 + 9 + 6 + 8 + 3 = 27.

MATHEMATICA

Select[Range[0, 30], #==Total[IntegerDigits[#^3]]&] (* Harvey P. Dale, Dec 21 2014 *)

PROG

(MAGMA) [n: n in [0..100] | &+Intseq(n^3) eq n ]; // Vincenzo Librandi, Sep 16 2015

CROSSREFS

Cf. A004164, A055569, A055575, A055576, A055577.

Cf. A152147.

Sequence in context: A066554 A302976 A244537 * A274770 A075485 A217433

Adjacent sequences:  A046456 A046457 A046458 * A046460 A046461 A046462

KEYWORD

base,fini,full,nonn,changed

AUTHOR

Patrick De Geest, Aug 15 1998

EXTENSIONS

Offset corrected by Arkadiusz Wesolowski, Aug 09 2013

STATUS

approved

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

License Agreements, Terms of Use, Privacy Policy. .

Last modified October 21 20:29 EDT 2018. Contains 316428 sequences. (Running on oeis4.)