

A245355


Sum of digits of n written in fractional base 8/5.


0



0, 1, 2, 3, 4, 5, 6, 7, 5, 6, 7, 8, 9, 10, 11, 12, 7, 8, 9, 10, 11, 12, 13, 14, 12, 13, 14, 15, 16, 17, 18, 19, 11, 12, 13, 14, 15, 16, 17, 18, 13, 14, 15, 16, 17, 18, 19, 20, 18, 19, 20, 21, 22, 23, 24, 25, 14, 15, 16, 17, 18, 19, 20, 21, 13, 14, 15, 16, 17
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OFFSET

0,3


COMMENTS

The base 8/5 expansion is unique and thus the sum of digits function is welldefined.


LINKS

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


FORMULA

a(n) = A007953(A024647(n)).


EXAMPLE

In base 8/5 the number 20 is represented by 524 and so a(20) = 5 + 2 + 4 = 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(8, 5, i) for i in [0..100]]


CROSSREFS

Cf. A024647, A007953, A000120, A053829, A244040.
Sequence in context: A007948 A038389 A058223 * A307785 A279313 A063265
Adjacent sequences: A245352 A245353 A245354 * A245356 A245357 A245358


KEYWORD

nonn,base


AUTHOR

Tom Edgar, Jul 18 2014


STATUS

approved



