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A037837 a(n) = Sum{|d(i)-d(i-1)|: i=1,...,m}, where Sum{d(i)*5^i: i=0,1,...,m} is the base 5 representation of n. 2
0, 0, 0, 0, 1, 0, 1, 2, 3, 2, 1, 0, 1, 2, 3, 2, 1, 0, 1, 4, 3, 2, 1, 0, 1, 2, 3, 4, 5, 1, 0, 1, 2, 3, 3, 2, 1, 2, 3, 5, 4, 3, 2, 3, 7, 6, 5, 4, 3, 2, 3, 4, 5, 6, 2, 1, 2, 3, 4, 2, 1, 0, 1, 2, 4, 3, 2, 1, 2, 6, 5, 4, 3, 2, 3, 4, 5, 6, 7, 3, 2, 3, 4, 5, 3, 2, 1, 2, 3, 3 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,8

COMMENTS

This is the base-5 total variation sequence; see A297330. - Clark Kimberling, Jan 18 2017

LINKS

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

MAPLE

A037837 := proc(n)

    local dgs ;

    dgs := convert(n, base, 5);

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

end proc: # R. J. Mathar, Oct 16 2015

MATHEMATICA

b = 5; z = 120; t = Table[Total@Flatten@Map[Abs@Differences@# &, Partition[IntegerDigits[n, b], 2, 1]], {n, z}] (* cf. Michael De Vlieger, A037834 *)

CROSSREFS

Cf. A297330.

Sequence in context: A260686 A037891 A037899 * A194526 A165033 A179766

Adjacent sequences:  A037834 A037835 A037836 * A037838 A037839 A037840

KEYWORD

nonn,base

AUTHOR

Clark Kimberling

EXTENSIONS

Updated by Clark Kimberling, Jan 20 2018

STATUS

approved

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Last modified March 8 20:14 EST 2021. Contains 341953 sequences. (Running on oeis4.)