

A245355


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


18



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



FORMULA



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*(x//p))
i+=1
return sum(L)
[basepqsum(8, 5, i) for i in [0..100]]


CROSSREFS



KEYWORD

nonn,base


AUTHOR



STATUS

approved



