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A245349 Sum of digits of n in fractional base 7/4. 0
0, 1, 2, 3, 4, 5, 6, 4, 5, 6, 7, 8, 9, 10, 5, 6, 7, 8, 9, 10, 11, 9, 10, 11, 12, 13, 14, 15, 7, 8, 9, 10, 11, 12, 13, 11, 12, 13, 14, 15, 16, 17, 12, 13, 14, 15, 16, 17, 18, 7, 8, 9, 10, 11, 12, 13, 11, 12, 13, 14, 15, 16, 17, 12, 13, 14, 15, 16, 17 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,3

COMMENTS

The base 7/4 expansion is unique, and thus the sum of digits function is well-defined.

LINKS

Table of n, a(n) for n=0..68.

EXAMPLE

In base 7/4 the number 7 is represented by 40 and so a(7) = 4 + 0 = 4.

PROG

(Sage)

def base74sum(n):

....L=[n]

....i=1

....while L[i-1]>=7:

........x=L[i-1]

........L[i-1]=x.mod(7)

........L.append(4*floor(x/7))

........i+=1

....return sum(L)

[base74sum(y) for y in [0..200]]

CROSSREFS

Cf. A024641, A053828, A007953.

Sequence in context: A096894 A097751 A070667 * A122416 A307784 A134665

Adjacent sequences:  A245346 A245347 A245348 * A245350 A245351 A245352

KEYWORD

nonn,base

AUTHOR

James Van Alstine, Jul 18 2014

STATUS

approved

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Last modified October 16 13:08 EDT 2019. Contains 328063 sequences. (Running on oeis4.)