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A245345 Sum of digits of n written in fractional base 9/2. 0
0, 1, 2, 3, 4, 5, 6, 7, 8, 2, 3, 4, 5, 6, 7, 8, 9, 10, 4, 5, 6, 7, 8, 9, 10, 11, 12, 6, 7, 8, 9, 10, 11, 12, 13, 14, 8, 9, 10, 11, 12, 13, 14, 15, 16, 3, 4, 5, 6, 7, 8, 9, 10, 11, 5, 6, 7, 8, 9, 10, 11, 12, 13, 7, 8, 9, 10, 11, 12, 13, 14, 15, 9, 10, 11, 12 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,3

COMMENTS

The base 9/2 expansion is unique and thus the sum of digits function is well-defined.

LINKS

Table of n, a(n) for n=0..75.

FORMULA

a(n) = A007953(A024650(n))

EXAMPLE

In base 9/2 the number 19 is represented by 41 and so a(19) = 4 + 1 = 5.

PROG

(Sage)

def basepqsum(p, q, n):

....L=[n]

....i=1

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

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

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

........L.append(q*floor(x/p))

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

....return sum(L)

[basepqsum(9, 2, i) for i in [0..100]]

CROSSREFS

Cf. A024650, A007953, A000120, A053830, A244040.

Sequence in context: A151950 A104418 A173528 * A043268 A238593 A279649

Adjacent sequences:  A245342 A245343 A245344 * A245346 A245347 A245348

KEYWORD

nonn,base

AUTHOR

Tom Edgar, Jul 18 2014

STATUS

approved

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Last modified April 24 20:29 EDT 2019. Contains 322446 sequences. (Running on oeis4.)