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A053835 Sum of digits of n written in base 15. 3
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; refs; listen; history; text; internal format)
OFFSET

0,3

COMMENTS

a(n) = A138530(n,15) for n > 14. - Reinhard Zumkeller, Mar 26 2008

LINKS

Table of n, a(n) for n=0..83.

Robert Walker, Self Similar Sloth Canon Number Sequences

Eric Weisstein's World of Mathematics, Digit Sum

FORMULA

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

EXAMPLE

a(20) = 1 + 5 = 6 because 20 is written as "15" in base 15.

PROG

(PARI) a(n)=if(n<1, 0, if(n%15, a(n-1)+1, a(n/15)))

CROSSREFS

Cf. A000120, A007953.

Sequence in context: A080331 A297247 A167463 * A072965 A297248 A043274

Adjacent sequences:  A053832 A053833 A053834 * A053836 A053837 A053838

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.)