A245344 Sum of digits of n written in fractional base 7/3.

0, 1, 2, 3, 4, 5, 6, 3, 4, 5, 6, 7, 8, 9, 6, 7, 8, 9, 10, 11, 12, 5, 6, 7, 8, 9, 10, 11, 8, 9, 10, 11, 12, 13, 14, 7, 8, 9, 10, 11, 12, 13, 10, 11, 12, 13, 14, 15, 16, 5, 6, 7, 8, 9, 10, 11, 8, 9, 10, 11, 12, 13, 14, 11, 12, 13, 14, 15, 16, 17

Offset

0,3

Comments

The base 7/3 expansion is unique, and thus the sum of digits function is well-defined.

Links

Alois P. Heinz, Table of n, a(n) for n = 0..10000

Example

In base 7/3 the number 7 is represented by 30 and so a(7) = 3 + 0 = 3.

Maple

a:= proc(n) `if`(n<1, 0, irem(n, 7, 'q')+a(3*q)) end:
seq(a(n), n=0..69);  # Alois P. Heinz, May 14 2021

Prog

(Sage) # uses [basepqsum from A245355]
[basepqsum(7, 3, y) for y in [0..200]]

Crossrefs

Cf. A024640, A053828, A007953.

Sequence in context: A352425 A104148 A286450 * A323074 A195153 A328764

Adjacent sequences: A245341 A245342 A245343 * A245345 A245346 A245347

Keyword

nonn,base

Author

James Van Alstine, Jul 18 2014

Extensions

Definition corrected by Georg Fischer, May 14 2021

Status

approved