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

Author

Jonathan Vos Post, May 24 2011

Keywords

• nonn
• easy
• base

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

Programs

Mathematica

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

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