A037835 - OEIS

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A037835

Sum{|d(i)-d(i-1)|: i=0,1,...,m}, where Sum{d(i)*3^i: i=0,1,...,m} is base 3 representation of n.

0, 0, 1, 0, 1, 2, 1, 0, 1, 2, 3, 1, 0, 1, 3, 2, 1, 2, 3, 4, 2, 1, 2, 2, 1, 0, 1, 2, 3, 3, 2, 3, 5, 4, 3, 1, 2, 3, 1, 0, 1, 3, 2, 1, 3, 4, 5, 3, 2, 3, 3, 2, 1, 2, 3, 4, 4, 3, 4, 6, 5, 4, 2, 3, 4, 2, 1, 2, 4, 3, 2, 2, 3, 4, 2, 1, 2, 2, 1, 0, 1, 2, 3, 3, 2, 3, 5, 4, 3, 3

(list; graph; refs; listen; history; text; internal format)

OFFSET

1,6

COMMENTS

This is the base-3 total variation sequence; see A297330. - Clark Kimberling

LINKS

Clark Kimberling, Table of n, a(n) for n = 1..10000

MAPLE

A037835 := proc(n)

local dgs ;

dgs := convert(n, base, 3);

add( abs(op(i, dgs)-op(i-1, dgs)), i=2..nops(dgs)) ;