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 A245321 Sum of digits of n written in fractional base 6/5. 1
 0, 1, 2, 3, 4, 5, 5, 6, 7, 8, 9, 10, 9, 10, 11, 12, 13, 14, 12, 13, 14, 15, 16, 17, 14, 15, 16, 17, 18, 19, 15, 16, 17, 18, 19, 20, 15, 16, 17, 18, 19, 20, 20, 21, 22, 23, 24, 25, 19, 20, 21, 22, 23, 24, 23, 24, 25, 26, 27, 28, 21, 22, 23, 24, 25, 26, 24, 25 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,3 COMMENTS The base 6/5 expansion is unique and thus the sum of digits function is well-defined. LINKS G. C. Greubel, Table of n, a(n) for n = 0..1000 FORMULA a(n) = A007953(A024638(n)). EXAMPLE In base 6/5 the number 15 is represented by 543 and so a(15) = 5 + 4 + 3 = 12. MAPLE a:= proc(n) `if`(n<1, 0, irem(n, 6, 'q')+a(5*q)) end: seq(a(n), n=0..100);  # Alois P. Heinz, Aug 19 2019 MATHEMATICA a[n_]:= a[n] = If[n==0, 0, a[5*Floor[n/6]] + Mod[n, 6]]; Table[a[n], {n, 0, 70}] (* G. C. Greubel, Aug 19 2019 *) 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(6, 5, i) for i in [0..70]] CROSSREFS Cf. A000120, A007953, A024638, A053827, A244040. Sequence in context: A247973 A195181 A003005 * A006163 A331268 A053757 Adjacent sequences:  A245318 A245319 A245320 * A245322 A245323 A245324 KEYWORD nonn,base AUTHOR Tom Edgar, Jul 18 2014 STATUS approved

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Last modified January 22 07:39 EST 2020. Contains 331139 sequences. (Running on oeis4.)