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A058898 Inconsummate numbers in base 2: no number is this multiple of the sum of its digits (in base 2). 16

%I

%S 13,19,25,26,35,38,47,49,50,52,55,67,70,76,94,95,97,98,100,103,104,

%T 109,110,115,117,131,134,140,151,152,157,159,171,175,179,183,185,187,

%U 188,190,193,194,196,199,200,203,206,208,217,218,220,227,229

%N Inconsummate numbers in base 2: no number is this multiple of the sum of its digits (in base 2).

%C Equivalently, these are the natural numbers that cannot be written as the arithmetic mean of distinct powers of 2. [From _Brian Kell_, Feb 28 2009]

%H Daniel Mondot, <a href="/A058898/b058898.txt">Table of n, a(n) for n = 1..33099</a>

%H D. Radcliffe, <a href="http://gotmath.com/inconsummate.html">Inconsummate Numbers</a> [broken link]

%F n such that A065413(n) = 0. [From _Brian Kell_, Mar 01 2009]

%p For Maple code see A058906.

%t Do[k = n; While[ Apply[ Plus, IntegerDigits[k, 2] ]*n != k && k < 250n, k += n]; If[k == 250n, Print[n] ], {n, 1, 10^3} ]

%Y Cf. A003635, A052491, A058899-A058907.

%K nonn,base

%O 1,1

%A _N. J. A. Sloane_, Jan 09 2001

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Last modified December 9 09:20 EST 2019. Contains 329877 sequences. (Running on oeis4.)