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 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 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,3 COMMENTS The base 8/5 expansion is unique and thus the sum of digits function is well-defined. 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[i-1]>=p: x=L[i-1] L[i-1]=x.mod(p) L.append(q*(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: A348262 A038389 A058223 * A307785 A331305 A279313 Adjacent sequences: A245352 A245353 A245354 * A245356 A245357 A245358 KEYWORD nonn,base AUTHOR Tom Edgar, Jul 18 2014 STATUS approved

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Last modified June 15 22:50 EDT 2024. Contains 373412 sequences. (Running on oeis4.)