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 A053830 Sum of digits of (n written in base 9). 17
 0, 1, 2, 3, 4, 5, 6, 7, 8, 1, 2, 3, 4, 5, 6, 7, 8, 9, 2, 3, 4, 5, 6, 7, 8, 9, 10, 3, 4, 5, 6, 7, 8, 9, 10, 11, 4, 5, 6, 7, 8, 9, 10, 11, 12, 5, 6, 7, 8, 9, 10, 11, 12, 13, 6, 7, 8, 9, 10, 11, 12, 13, 14, 7, 8, 9, 10, 11, 12, 13, 14, 15, 8, 9, 10, 11, 12, 13, 14, 15, 16, 1, 2, 3, 4, 5, 6, 7, 8, 9 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,3 COMMENTS Also the fixed point of the morphism 0->{0,1,2,3,4,5,6,7,8}, 1->{1,2,3,4,5,6,7,8,9}, 2->{2,3,4,5,6,7,8,9,10}, etc. - Robert G. Wilson v, Jul 27 2006 a(n) = A138530(n,9) for n > 8. - Reinhard Zumkeller, Mar 26 2008 LINKS Indranil Ghosh, Table of n, a(n) for n = 0..59049 Robert Walker, Self Similar Sloth Canon Number Sequences Eric Weisstein's World of Mathematics, Digit Sum FORMULA a(0)=0, a(9n+i)=a(n)+i 0<=i<=8; a(n)=n-8*(sum(k>0, floor(n/9^k))=n-8*A054898(n). - Benoit Cloitre, Dec 19 2002 a(n)=Sum_k>=0 {A031087(n,k)}. - Philippe Deléham, Oct 21 2011 EXAMPLE a(20)=2+2=4 because 20 is written as 22 base 9 From Omar E. Pol, Feb 23 2010: (Start) It appears that this can be written as a triangle (See the conjecture in the entry A000120): 0; 1,2,3,4,5,6,7,8; 1,2,3,4,5,6,7,8,9,2,3,4,5,6,7,8,9,10,3,4,5,6,7,8,9,10,11,4,5,6,7,8,9,10,11... where the rows converge to A173529. (End) MATHEMATICA Table[Plus @@ IntegerDigits[n, 9], {n, 0, 100}] (* or *) Nest[ Flatten[ #1 /. a_Integer -> Table[a + i, {i, 0, 8}]] &, {0}, 3] (* Robert G. Wilson v, Jul 27 2006 *) PROG (PARI) a(n)=if(n<1, 0, if(n%9, a(n-1)+1, a(n/9))) CROSSREFS Cf. A000120, A007953, A053735, A053737, A053824, A053828, A231684-A231687. Cf. A173529. - Omar E. Pol, Feb 23 2010 Sequence in context: A053844 A010887 A101412 * A033929 A025482 A023125 Adjacent sequences:  A053827 A053828 A053829 * A053831 A053832 A053833 KEYWORD base,nonn AUTHOR Henry Bottomley, Mar 28 2000 STATUS approved

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Last modified June 21 23:16 EDT 2018. Contains 305646 sequences. (Running on oeis4.)