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A046000 a(n) is largest number m equal to the sum of digits of m^n. +0
5
1, 9, 9, 27, 36, 46, 64, 68, 63, 81, 117, 108, 108, 146, 154, 199, 187, 216, 181, 207, 207, 225, 256, 271, 288, 337, 324, 307, 328, 341, 396, 443, 388, 423, 463, 477, 424, 495, 469, 523, 502, 432, 531, 572, 603, 523, 592, 666, 667, 695, 685, 685, 739, 746, 739, 683, 684, 802, 754, 845, 793, 833, 865 (list; graph; listen)
OFFSET

0,2

COMMENT

a(n) = A061211(n)^(1/n).

REFERENCES

Amarnath Murthy, The largest and the smallest m-th power whose digits sum /product is its m-th root. To appear in Smarandache Notions Journal, 2003.

Amarnath Murthy, e-book, " Ideas on Smarandache Notions " MS.LIT

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

LINKS

M. L. Perez et al., eds., Smarandache Notions Journal

EXAMPLE

a(3) = 27 since 27^3 = 19683 and 1+9+6+8+3 = 27; a(5) = 46 because 46 is largest number with 46^5 = 205962976, 2+0+5+9+6+2+9+7+6 = 46.

CROSSREFS

Cf. A046459, A046469, A046471, A055575, A055576, A055577, A046017.

Cf. A061211, A076090.

Sequence in context: A059816 A111005 A076089 this_sequence A003874 A097988 A103646

Adjacent sequences: A045997 A045998 A045999 this_sequence A046001 A046002 A046003

KEYWORD

base,nonn,nice

AUTHOR

David W. Wilson and Patrick De Geest (pdg(AT)worldofnumbers.com)

EXTENSIONS

More terms from Asher Natan Auel (auela(AT)reed.edu), Jun 01 2000

More terms from Frank Adams-Watters (FrankTAW(AT)Netscape.net), Sep 01 2006

Edited by njas at the suggestion of David Wasserman (dwasserm(AT)earthlink.net), Dec 12 2007

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Last modified August 19 23:53 EDT 2008. Contains 142930 sequences.


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