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Search: id:A053829
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| A053829 |
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Sum of digits of n written in base 8. |
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+0
4
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| 0, 1, 2, 3, 4, 5, 6, 7, 1, 2, 3, 4, 5, 6, 7, 8, 2, 3, 4, 5, 6, 7, 8, 9, 3, 4, 5, 6, 7, 8, 9, 10, 4, 5, 6, 7, 8, 9, 10, 11, 5, 6, 7, 8, 9, 10, 11, 12, 6, 7, 8, 9, 10, 11, 12, 13, 7, 8, 9, 10, 11, 12, 13, 14, 1, 2, 3, 4, 5, 6, 7, 8, 2, 3, 4, 5, 6, 7, 8, 9, 3, 4, 5, 6, 7, 8, 9, 10, 4, 5, 6, 7, 8, 9, 10
(list; graph; listen)
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OFFSET
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0,3
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COMMENT
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Also the fixed point of the morphism 0->{0,1,2,3,4,5,6,7}, 1->{1,2,3,4,5,6,7,8}, 2->{2,3,4,5,6,7,8,9}, etc. - Robert G. Wilson v Jul 27 2006.
a(n) = A138530(n,8) for n > 7. - 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
Eric Weisstein's World of Mathematics, Octal
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FORMULA
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a(0)=0, a(8n+i)=a(n)+i 0<=i<=7; a(n)=n-7*(sum(k>0, floor(n/8^k))=n-7*A054897(n). - Benoit Cloitre, Dec 19, 2002
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EXAMPLE
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a(20)=2+4=6 because 20 is written as 24 base 8
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MATHEMATICA
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Table[Plus @@ IntegerDigits[n, 8], {n, 0, 95}] (* or *)
Nest[ Flatten[ #1 /. a_Integer -> Table[a + i, {i, 0, 7}]] &, {0}, 4] (* Robert G. Wilson v Jul 27 2006 *)
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PROGRAM
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(PARI) a(n)=if(n<1, 0, if(n%8, a(n-1)+1, a(n/8)))
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CROSSREFS
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Cf. A000120, A007953.
Sequence in context: A010886 A002376 A055401 this_sequence A033928 A050985 A056192
Adjacent sequences: A053826 A053827 A053828 this_sequence A053830 A053831 A053832
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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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