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Partial sums of A190592.
1

%I #18 Feb 15 2020 23:29:32

%S 0,1,3,4,5,7,9,11,13,14,15,17,18,19,21,23,25,27,29,31,33,35,37,39,41,

%T 43,45,46,47,49,50,51,53,55,57,59,60,61,63,64,65,67,69,71,73,75,77,79,

%U 81,83,85,87,89,91,93,95,97,99,101,103,105,107,109,111,113,115,117,119,121,123,125,127,129,131,133,135,137,139,141,143,145,146,147,149,150,151,153,155,157,159,160,161,163,164,165,167,169,171,173,175,177,179,181,183,185

%N Partial sums of A190592.

%C Compare with obvious base-2 analog. What is the general base-k formula?

%H Michael De Vlieger, <a href="/A190941/b190941.txt">Table of n, a(n) for n = 0..10000</a>

%F a(n) = Sum_{i=0..n} (maximal digit in base-3 expansion of i).

%F a(n) = 3n + O(n^0.631). - _Charles R Greathouse IV_, Aug 21 2011

%t Accumulate@ Array[Max@ IntegerDigits[#, 3] &, 105, 0] (* _Michael De Vlieger_, Feb 15 2020 *)

%K nonn,easy,base

%O 0,3

%A _Jonathan Vos Post_, May 24 2011