login
A245350
Sum of digits of n written in fractional base 9/4.
0
0, 1, 2, 3, 4, 5, 6, 7, 8, 4, 5, 6, 7, 8, 9, 10, 11, 12, 8, 9, 10, 11, 12, 13, 14, 15, 16, 7, 8, 9, 10, 11, 12, 13, 14, 15, 11, 12, 13, 14, 15, 16, 17, 18, 19, 10, 11, 12, 13, 14, 15, 16, 17, 18, 14, 15, 16, 17, 18, 19, 20, 21, 22, 8, 9, 10, 11, 12, 13, 14, 15
OFFSET
0,3
COMMENTS
The base 9/4 expansion is unique and thus the sum of digits function is well-defined.
FORMULA
a(n) = A007953(A024652(n)).
EXAMPLE
In base 9/4 the number 16 is represented by 47 and so a(16) = 4 + 7 = 11.
PROG
(Sage) # uses [basepqsum from A245355]
[basepqsum(9, 4, i) for i in [0..100]]
CROSSREFS
KEYWORD
nonn,base
AUTHOR
Tom Edgar, Jul 18 2014
STATUS
approved