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Search: id:A053835
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| A053835 |
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Sum of digits of n written in base 15. |
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+0
3
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| 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 5, 6, 7, 8, 9, 10, 11, 12, 13
(list; graph; listen)
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OFFSET
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0,3
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COMMENT
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a(n) = A138530(n,15) for n > 14. - Reinhard Zumkeller (reinhard.zumkeller(AT)gmail.com), Mar 26 2008
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LINKS
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Eric Weisstein's World of Mathematics, Digit Sum
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FORMULA
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a(0)=0, a(15n+i)=a(n)+i 0<=i<=14; a(n)=n-14*(sum(k>0, floor(n/15^k)). - Benoit Cloitre, Dec 19, 2002
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EXAMPLE
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a(20)=1+5=6 because 20 is written as 15 base 15
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PROGRAM
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(PARI) a(n)=if(n<1, 0, if(n%15, a(n-1)+1, a(n/15)))
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CROSSREFS
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Cf. A000120, A007953.
Sequence in context: A043273 A080331 A167463 this_sequence A072965 A043274 A124196
Adjacent sequences: A053832 A053833 A053834 this_sequence A053836 A053837 A053838
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KEYWORD
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base,nonn
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AUTHOR
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Henry Bottomley (se16(AT)btinternet.com), Mar 28 2000
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