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A037837
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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.
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2
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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
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OFFSET
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1,8
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COMMENTS
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This is the base-5 total variation sequence; see A297330. - Clark Kimberling, Jan 18 2017
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LINKS
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Clark Kimberling, Table of n, a(n) for n = 1..10000
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MAPLE
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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
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MATHEMATICA
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b = 5; z = 120; t = Table[Total@Flatten@Map[Abs@Differences@# &, Partition[IntegerDigits[n, b], 2, 1]], {n, z}] (* cf. Michael De Vlieger, A037834 *)
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CROSSREFS
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Cf. A297330.
Sequence in context: A260686 A037891 A037899 * A194526 A165033 A179766
Adjacent sequences: A037834 A037835 A037836 * A037838 A037839 A037840
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KEYWORD
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nonn,base
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AUTHOR
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Clark Kimberling
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EXTENSIONS
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Updated by Clark Kimberling, Jan 20 2018
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STATUS
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approved
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