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A053833
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Sum of digits of n written in base 13.
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3
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0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 6, 7, 8, 9, 10, 11, 12
(list; graph; refs; listen; history; internal format)
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OFFSET
| 0,3
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COMMENTS
| a(n) = A138530(n,13) for n > 12. - Reinhard Zumkeller (reinhard.zumkeller(AT)gmail.com), Mar 26 2008
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LINKS
| Eric Weisstein's World of Mathematics, Digit Sum
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FORMULA
| a(0)=0, a(13n+i)=a(n)+i 0<=i<=12; a(n)=n-12*(sum(k>0, floor(n/13^k)). - Benoit Cloitre, Dec 19, 2002
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EXAMPLE
| a(20)=1+7=8 because 20 is written as 17 base 13
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PROG
| (PARI) a(n)=if(n<1, 0, if(n%13, a(n-1)+1, a(n/13)))
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CROSSREFS
| Cf. A000120, A007953.
Sequence in context: A072778 A178787 A034326 * A167973 A087999 A106614
Adjacent sequences: A053830 A053831 A053832 * A053834 A053835 A053836
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KEYWORD
| base,nonn
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AUTHOR
| Henry Bottomley (se16(AT)btinternet.com), Mar 28 2000
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