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A037838
a(n) = Sum{|d(i)-d(i-1)|: i=1,...,m}, where Sum{d(i)*6^i: i=0,1,...,m} is the base 6 representation of n.
2
0, 0, 0, 0, 0, 1, 0, 1, 2, 3, 4, 2, 1, 0, 1, 2, 3, 3, 2, 1, 0, 1, 2, 4, 3, 2, 1, 0, 1, 5, 4, 3, 2, 1, 0, 1, 2, 3, 4, 5, 6, 1, 0, 1, 2, 3, 4, 3, 2, 1, 2, 3, 4, 5, 4, 3, 2, 3, 4, 7, 6, 5, 4, 3, 4, 9, 8, 7, 6, 5, 4, 2, 3, 4, 5, 6, 7, 2, 1, 2, 3, 4, 5, 2, 1, 0, 1, 2, 3, 4
OFFSET
1,9
COMMENTS
This is the base-6 total variation sequence; see A297330. - Clark Kimberling, Jan 18 2017
LINKS
MAPLE
A037838 := proc(n)
local dgs ;
dgs := convert(n, base, 6);
add( abs(op(i, dgs)-op(i-1, dgs)), i=2..nops(dgs)) ;
end proc:
seq(A037838(n), n=1..100) ; # R. J. Mathar, Jul 31 2024
MATHEMATICA
b = 6; 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: A350111 A037892 A037900 * A165052 A107474 A114734
KEYWORD
nonn,base
EXTENSIONS
Updated by Clark Kimberling, Jan 20 2018
STATUS
approved