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Search: id:A053836
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| A053836 |
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Sum of digits of n written in base 16. |
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+0
5
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| 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 5, 6, 7
(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,16) for n > 15. - 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, Hexadecimal
Eric Weisstein's World of Mathematics, Digit Sum
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FORMULA
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a(0)=0, a(16n+i)=a(n)+i 0<=i<=15; a(n)=n-15*(sum(k>0, floor(n/16^k)). - Benoit Cloitre, Dec 19, 2002
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EXAMPLE
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a(20)=1+4=5 because 20 is written as 14 base 16
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PROGRAM
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(PARI) a(n)=if(n<1, 0, if(n%16, a(n-1)+1, a(n/16)))
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CROSSREFS
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Cf. A000120, A007953.
Sequence in context: A130909 A160700 A002377 this_sequence A025483 A053165 A056962
Adjacent sequences: A053833 A053834 A053835 this_sequence A053837 A053838 A053839
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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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