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!)
A016087 First nontrivial or multidigital Armstrong number to base n. 3

%I #30 Aug 28 2015 11:55:06

%S 5,28,13,99,10,20,41,153,61,29,17,244,113,342,40,80,181,2413,26,97,53,

%T 11080,313,5425,90,180,421,68,37,205,109,356,613,5489,160,85,761,

%U 10413,261,353,50,637,1013,292,104,500,1201,1025,1301,541,281,127295,178

%N First nontrivial or multidigital Armstrong number to base n.

%C Also called narcissistic numbers or pluperfect digital invariants.

%C a(90) > 10^8 if it exists at all. - _Robert Israel_, Aug 24 2015

%H Tim Johannes Ohrtmann, <a href="/A016087/b016087.txt">Table of n, a(n) for n = 3..89</a>

%H Robert Israel, <a href="/A016087/a016087.txt">Known values of n, a(n) for n = 3..269</a> (n=90 still unknown)

%H Dik T. Winter, <a href="http://www.cwi.nl/~dik/english/mathematics/armstrong.html">Armstrong numbers</a>

%p f:= proc(n) local k,L,m;

%p for k from n+1 do

%p L:= convert(k,base,n);

%p m:= nops(L);

%p if add(t^m,t=L) = k then return(k) fi

%p od

%p end proc:

%p map(f, [$3..89]); # _Robert Israel_, Aug 24 2015

%t Do[k = n + 1; While[l = IntegerDigits[k, n]; Apply[ Plus, l^Length[l]] != k, k++ ]; Print[k], {n, 3, 75} ]

%Y Cf. A005188, A259347.

%K nonn,base

%O 3,1

%A _Robert G. Wilson v_

%E Edited and extended by _Robert G. Wilson v_, Feb 28 2002

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 14 07:57 EDT 2024. Contains 372530 sequences. (Running on oeis4.)