A190941 Partial sums of A190592.

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

Offset

0,3

Comments

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

Links

Michael De Vlieger, Table of n, a(n) for n = 0..10000

Formula

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

a(n) = 3n + O(n^0.631). - Charles R Greathouse IV, Aug 21 2011

Mathematica

Accumulate@ Array[Max@ IntegerDigits[#, 3] &, 105, 0] (* Michael De Vlieger, Feb 15 2020 *)

Crossrefs

Sequence in context: A047501 A256455 A035242 * A284752 A161153 A128201

Adjacent sequences: A190938 A190939 A190940 * A190942 A190943 A190944

Keyword

nonn,easy,base

Author

Jonathan Vos Post, May 24 2011

Status

approved