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Sum of digits of n written in fractional base 10/7.
0

%I #7 Mar 16 2020 18:24:41

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

%T 18,19,20,12,13,14,15,16,17,18,19,20,21,19,20,21,22,23,24,25,26,27,28,

%U 17,18,19,20,21,22,23,24,25,26,21,22,23,24,25,26,27,28

%N Sum of digits of n written in fractional base 10/7.

%C The base 10/7 expansion is unique and thus the sum of digits function is well-defined.

%F a(n) = A007953(A024662(n)).

%e In base 10/7 the number 14 is represented by 74 and so a(14) = 7 + 4 = 11.

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

%o [basepqsum(10,7,w) for w in [0..200]]

%Y Cf. A007953, A000120, A024662, A244040.

%K nonn,base

%O 0,3

%A _Hailey R. Olafson_, Jul 18 2014