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A053834 Sum of digits of n written in base 14. 3
0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,3

COMMENTS

a(n) = A138530(n,14) for n > 13. - 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(14n+i)=a(n)+i 0<=i<=13; a(n)=n-13*(sum(k>0, floor(n/14^k)). - Benoit Cloitre, Dec 19 2002

EXAMPLE

a(20) = 1 + 6 = 7 because 20 is written as "16" in base 14.

MATHEMATICA

Array[Total[IntegerDigits[#, 14]]&, 90, 0] (* Harvey P. Dale, Jul 16 2011 *)

PROG

(PARI) a(n)=if(n<1, 0, if(n%14, a(n-1)+1, a(n/14)))

CROSSREFS

Cf. A000120, A007953.

Sequence in context: A071523 A297244 A070696 * A297245 A043273 A268982

Adjacent sequences:  A053831 A053832 A053833 * A053835 A053836 A053837

KEYWORD

base,nonn

AUTHOR

Henry Bottomley, Mar 28 2000

STATUS

approved

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Last modified June 19 08:41 EDT 2018. Contains 305581 sequences. (Running on oeis4.)