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A245344
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Sum of digits of n written in fractional base 7/3.
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1
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0, 1, 2, 3, 4, 5, 6, 3, 4, 5, 6, 7, 8, 9, 6, 7, 8, 9, 10, 11, 12, 5, 6, 7, 8, 9, 10, 11, 8, 9, 10, 11, 12, 13, 14, 7, 8, 9, 10, 11, 12, 13, 10, 11, 12, 13, 14, 15, 16, 5, 6, 7, 8, 9, 10, 11, 8, 9, 10, 11, 12, 13, 14, 11, 12, 13, 14, 15, 16, 17
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OFFSET
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0,3
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COMMENTS
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The base 7/3 expansion is unique, and thus the sum of digits function is well-defined.
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LINKS
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EXAMPLE
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In base 7/3 the number 7 is represented by 30 and so a(7) = 3 + 0 = 3.
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MAPLE
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a:= proc(n) `if`(n<1, 0, irem(n, 7, 'q')+a(3*q)) end:
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PROG
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(Sage) # uses [basepqsum from A245355]
[basepqsum(7, 3, y) for y in [0..200]]
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CROSSREFS
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KEYWORD
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nonn,base
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AUTHOR
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EXTENSIONS
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STATUS
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approved
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