

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
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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)=n13*(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(n1)+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



