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Sum of digits of n written in fractional base 8/7.
0

%I #11 Mar 16 2020 16:31:16

%S 0,1,2,3,4,5,6,7,7,8,9,10,11,12,13,14,13,14,15,16,17,18,19,20,18,19,

%T 20,21,22,23,24,25,22,23,24,25,26,27,28,29,25,26,27,28,29,30,31,32,27,

%U 28,29,30,31,32,33,34,28,29,30,31,32,33,34,35,28,29,30,31

%N Sum of digits of n written in fractional base 8/7.

%C The base 8/7 expansion is unique and thus the sum of digits function is well-defined.

%F a(n) = A007953(A024649(n)).

%e In base 8/7 the number 14 is represented by 76 and so a(14) = 7 + 6 = 13.

%o (Sage) # uses [basepqsum from A245355]

%o [basepqsum(8,7,w) for w in [0..200]]

%Y Cf. A053829, A007953, A024649, A000120, A244040.

%K nonn,base

%O 0,3

%A _Hailey R. Olafson_, Jul 18 2014