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A037854
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Sum_{i=1..m, d(i)>d(i-1)} d(i)-d(i-1), where Sum_{i=0..m} d(i)*4^i is the base 4 representation of n.
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3
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0, 0, 0, 1, 0, 0, 0, 2, 1, 0, 0, 3, 2, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 2, 1, 0, 0, 3, 2, 1, 0, 2, 2, 2, 2, 2, 1, 1, 1, 2, 1, 0, 0, 3, 2, 1, 0, 3, 3, 3, 3, 3, 2, 2, 2, 3, 2, 1, 1, 3, 2, 1, 0, 1, 1, 1, 1, 2, 1, 1, 1, 3, 2, 1, 1, 4, 3, 2, 1, 1, 1, 1, 1, 1, 0, 0, 0, 2, 1, 0
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OFFSET
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1,8
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COMMENTS
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LINKS
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MAPLE
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a := 0 ;
dgs := convert(n, base, 4);
for i from 2 to nops(dgs) do
if op(i, dgs)>op(i-1, dgs) then
a := a+op(i, dgs)-op(i-1, dgs) ;
end if;
end do:
a ;
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MATHEMATICA
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d[n_] := d[n] = Differences[RealDigits[n, 4][[1]]]
Table[Total[Select[d[n], # > 0 &]], {n, 1, z}]; (* A037845 *)
-Table[Total[Select[d[n], # < 0 &]], {n, 1, z}]; (* A037854 *)
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CROSSREFS
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KEYWORD
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nonn,base
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AUTHOR
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EXTENSIONS
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STATUS
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approved
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