A245353 Sum of digits of n written in fractional base 9/7.

0, 1, 2, 3, 4, 5, 6, 7, 8, 7, 8, 9, 10, 11, 12, 13, 14, 15, 12, 13, 14, 15, 16, 17, 18, 19, 20, 15, 16, 17, 18, 19, 20, 21, 22, 23, 16, 17, 18, 19, 20, 21, 22, 23, 24, 23, 24, 25, 26, 27, 28, 29, 30, 31, 22, 23, 24, 25, 26, 27, 28, 29, 30, 27, 28, 29, 30, 31

Offset

0,3

Comments

The base 9/7 expansion is unique and thus the sum of digits function is well-defined.

Links

Table of n, a(n) for n=0..67.

Formula

a(n) = A007953(A024655(n)).

Example

In base 9/7 the number 14 is represented by 75 and so a(14) = 7 + 5 = 12.

Prog

(Sage) # uses [basepqsum from A245355]
[basepqsum(9, 7, w) for w in [0..200]]

Crossrefs

Cf. A007953, A000120, A244040, A024655, A053830.

Sequence in context: A017883 A269364 A309384 * A063278 A355459 A110011

Adjacent sequences: A245350 A245351 A245352 * A245354 A245355 A245356

Keyword

nonn,base

Author

Hailey R. Olafson, Jul 18 2014

Status

approved