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A037839
a(n) = Sum{|d(i)-d(i-1)|: i=1,...,m}, where Sum{d(i)*7^i: i=0,1,...,m} is the base 7 representation of n.
2
0, 0, 0, 0, 0, 0, 1, 0, 1, 2, 3, 4, 5, 2, 1, 0, 1, 2, 3, 4, 3, 2, 1, 0, 1, 2, 3, 4, 3, 2, 1, 0, 1, 2, 5, 4, 3, 2, 1, 0, 1, 6, 5, 4, 3, 2, 1, 0, 1, 2, 3, 4, 5, 6, 7, 1, 0, 1, 2, 3, 4, 5, 3, 2, 1, 2, 3, 4, 5, 5, 4, 3, 2, 3, 4, 5, 7, 6, 5, 4, 3, 4, 5, 9, 8, 7, 6, 5, 4, 5
OFFSET
1,10
COMMENTS
This is the base-7 total variation sequence; see A297330. - Clark Kimberling, Jan 18 2017
LINKS
MATHEMATICA
b = 7; 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: A350112 A037893 A037901 * A165072 A141404 A212176
KEYWORD
nonn,base
EXTENSIONS
Updated by Clark Kimberling, Jan 20 2018
STATUS
approved