

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
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OFFSET

0,3


COMMENTS

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


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[i1]>=p:
........x=L[i1]
........L[i1]=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: A160597 A282779 A305902 * A245354 A097377 A234741
Adjacent sequences: A245347 A245348 A245349 * A245351 A245352 A245353


KEYWORD

nonn,base


AUTHOR

Tom Edgar, Jul 18 2014


STATUS

approved



