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A245350 Sum of digits of n written in fractional base 9/4. 0
0, 1, 2, 3, 4, 5, 6, 7, 8, 4, 5, 6, 7, 8, 9, 10, 11, 12, 8, 9, 10, 11, 12, 13, 14, 15, 16, 7, 8, 9, 10, 11, 12, 13, 14, 15, 11, 12, 13, 14, 15, 16, 17, 18, 19, 10, 11, 12, 13, 14, 15, 16, 17, 18, 14, 15, 16, 17, 18, 19, 20, 21, 22, 8, 9, 10, 11, 12, 13, 14, 15 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,3

COMMENTS

The base 9/4 expansion is unique and thus the sum of digits function is well-defined.

LINKS

Table of n, a(n) for n=0..70.

FORMULA

a(n) = A007953(A024652(n)).

EXAMPLE

In base 9/4 the number 16 is represented by 47 and so a(16) = 4 + 7 = 11.

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, 4, i) for i in [0..100]]

CROSSREFS

Cf. A024652, A007953, A000120, A053830, A244040.

Sequence in context: A278060 A160597 A282779 * A245354 A097377 A234741

Adjacent sequences:  A245347 A245348 A245349 * A245351 A245352 A245353

KEYWORD

nonn,base

AUTHOR

Tom Edgar, Jul 18 2014

STATUS

approved

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Last modified February 23 13:25 EST 2018. Contains 299581 sequences. (Running on oeis4.)